Probability and Venn Diagram Questionnaire

10/30/21, 1:13 AMQuiz: Section 8.1
Section 8.1
Started: Oct 27 at 11:43pm
Quiz Instructions
Question 1
4 pts
Given the following Venn diagram:
Note: When answering the questions below, for any final answer that has up to four
decimal places, enter your answer without rounding the number. For any answers
with more than four decimal values, round your final answer to four decimal places.
a) Calculate the probability
P (A|B) =?
b) Calculate the probability
P (B|A) =?
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Question 2
Quiz: Section 8.1
4 pts
Consider the following Venn Diagram which was constructed based on the data from
a survey of 209 UNLV students :
a) What is the probability that a student is taking History, but not English?(Round
your answer to four decimal places before entering in the box below).
b) What is the probability that a student is taking English AND Algebra, but not
History? (Round your answer to four decimal places before entering in the box
below).
Question 3
4 pts
Given the following Venn diagram:
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Quiz: Section 8.1
Note: When answering the questions below, for any final answer that has up to four
decimal places, enter your answer without rounding the number. For any answers
with more than four decimal values, round your final answer to four decimal places.
a) Calculate the probability
P (A|B) =?
b) Calculate the probability
P (B|A) =?
Question 4
Suppose
6
3 pts
green and
3
blue identical objects are in a jar. A blindfolded person
randomly selects two of these objects from the jar one after another, without replacing
them back into the jar. The following tree diagram depicts all the possible random
outcomes, but the branch probabilities are missing.
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Quiz: Section 8.1
Note: For all questions below, please enter your answers in fraction form.
a) What is the value of the branch probability
a =?
b) What is the value of the branch probability
d =?
c) What is the value of the branch probability
e =?
Question 5
Suppose
5
3 pts
blue and
2
yellow identical objects are in a jar. A blindfolded person
randomly selects two of these objects from the jar one after another, without replacing
them back into the jar. The following tree diagram depicts all the possible random
outcomes, but the branch probabilities are missing.
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10/30/21, 1:13 AM
Quiz: Section 8.1
Note: For all questions below, please enter your answers in fraction form.
a) What is the value of the branch probability
a =?
b) What is the value of the branch probability
e =?
c) What is the value of the branch probability
c =?
Question 6
Suppose
4
3 pts
orange and
3
red identical objects are in a jar. A blindfolded person
randomly selects two of these objects from the jar one after another, without replacing
them back into the jar. The following tree diagram depicts all the possible random
outcomes, but the branch probabilities are missing.
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10/30/21, 1:13 AM
Quiz: Section 8.1
Note: For all questions below, please enter your answers in fraction form.
a) What is the value of the branch probability
d =?
b) What is the value of the branch probability
b =?
c) What is the value of the branch probability
f =?
Question 7
If
E
and
3 pts
F
P (E ∩ F ) =
are events with
0.186 , calculate
P (E) =
0.351
,
0.5 ,
P (F ) =
and
P (E|F ) =?
Note: For any final answer that has up to four decimal places, enter your answer in
the box below without rounding the number. For any answer with more than four
decimal values, round your final answer to four decimal places.
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Quiz: Section 8.1
Question 8
If
E
and
P (E ∩ F )
3 pts
are events with
= 0.088 , calculate
F
P (E) =
0.353
,
0.414 ,
P (F ) =
and
P (F |E) =?
Note: For any final answer that has up to four decimal places, enter your answer in
the box below without rounding the number. For any answer with more than four
decimal values, round your final answer to four decimal places.
Question 9
If
E
and
, find
F
3 pts
are events with
P (E ∩ F ) =
0.299 ,
and
P (E|F ) =
0.676
P (F ) =?
Note: For any final answer that has up to four decimal places, enter your answer in
the box below without rounding the number. For any answer with more than four
decimal values, round your final answer to four decimal places.
Question 10
Let
E
0.127 ,
and
3 pts
F
be the events in a sample space
0.566. Calculate
P (F ) =
S
such that
P (E|F ) =
P (E ∩ F ) =?
Note: For any final answer that has up to four decimal places, enter your answer in
the box below without rounding the number. For any answer with more than four
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Quiz: Section 8.1
decimal values, round your final answer to four decimal places.
Question 11
3 pts
Suppose 6 blue and 6 orange identical objects are in a jar. A blindfolded person
randomly selects two of these objects from the jar one after another, without replacing
them back into the jar. The following tree diagram depicts all the possible random
outcomes and their probabilities.
Note: Please enter your answers below in fraction form.
a) What is the conditional probability
P (Blue | Orange) =?
b) What is the probability of obtaining a final outcome with one orange object?
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Quiz: Section 8.1
Question 12
3 pts
Suppose 6 orange and 7 yellow identical objects are in a jar. A blindfolded
person randomly selects two of these objects from the jar one after another, without
replacing them back into the jar. The following tree diagram depicts all the possible
random outcomes and their probabilities.
Note: Please enter your answers below in fraction form.
a) What is the conditional probability
P (Y ellow | Orange) =?
b) What is the probability of obtaining a final outcome with at least one yellow object?
Question 13
Suppose
7
blue and
3 pts
3
green identical objects are in a jar. A blindfolded person
randomly selects two of these objects from the jar one after another, without replacing
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Quiz: Section 8.1
them back into the jar. The following tree diagram depicts all the possible random
outcomes and their probabilities.
Note: Please enter your answers below in fraction form.
a) What is the conditional probability
P (Green | Blue) =?
b) What is the probability of obtaining a final outcome with at least one green object?
Question 14
2 pts
The data gathered from a survey of a random group of cyclists and the routes they
prefer are categorized in terms of a cyclist’s gender and preference as follows:
a11 =49 , a12 =111 , a13 =92 , a21 =57 ,
a22 =120 ,
a23 =94
The following contingency table was created based on the above data, where you will
need to calculate the grand total, the total for each row, and the total for each column
on your own before answering the question that appears after the table.
Lake Path Hilly Path Wooded Path Total
Female
49
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111
92
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10/30/21, 1:13 AM
Quiz: Section 8.1
Male
57
120
94
Total
Calculate the probability of a cyclist who is female and prefers a lake path (For
answers up to four decimal places, enter the number in the box below without
rounding it. For answers that have more than four decimal values, round your
answer to four decimal places).
Question 15
2 pts
The data on the major and home state for a randomly chosen group of students at a
private college are: a =31 , a =98 , a =86 , a =159 , a =58 ,
11
252 ,
=197
,
81 ,
=63 ,
12
13
186 ,
=185 ,
a22 =
a23 =
a24 =
a34
a41
a42
14
189 ,
=24 ,
a31 =
a43
21
179 ,
=101
a32 =
a44
a33 =
55
,
The following contingency table was created based on the above data, where you will
need to calculate the grand total, the total for each row, and the total for each column
on your own before answering the question that appears after the table.
Biology
Accounting
History
Education
Pennsylvania
31
98
86
159
New Jersey
58
252
81
186
New York
189
179
55
197
Maryland
63
185
24
101
Total
Total
Calculate the probability of a student whose home state is New York and majors in
accounting (For answers up to four decimal places, enter the number in the box
below without rounding it. For answers that have more than four decimal
values, round your answer to four decimal places).
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Quiz: Section 8.1
Question 16
2 pts
The data gathered from an actual random sample of adults classified according to
their gender and favorite way to eat ice cream are as follows: a11 =369 , a12
302 , a13 =71 , a14 =37 , a15 =72 , a21 =526 , a22 =251 ,
a23 =69 , a24 =47 ,
a25 =52
=
The following contingency table was created based on the above data, where you will
need to calculate the grand total, the total for each row, and the total for each column
on your own before answering the question that appears after the table
Cup
Cone
Sundae
Sandwich
Other
Female
369
302
71
37
72
Male
526
251
69
47
52
Total
Total
Calculate the probability that someone’s favorite way to eat ice cream is a sundae,
given that the person is female. (For answers up to four decimal places, enter the
number in the box below without rounding it. For answers that have more than
four decimal values, round your answer to four decimal places).
Question 17
2 pts
The data gathered from a survey of a random group of undergraduate university
students about their academic standing are: a11 =67 , a12 =50 , a13 =96 ,
a14 =91 , a21 =1,175 ,
a22 =919 ,
a23 =878 ,
a24 =721 ,
a31 =
335 , a32 =295 , a33 =230 , a34 =49
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Quiz: Section 8.1
The following contingency table was created based on the above data, where you will
need to calculate the grand total, the total for each row, and the total for each column
on your own before answering the question that appears after the table.
Academic
Standing
Honors
Satisfactory
Probation
Freshman
Sophomore Junior
Senior
67
50
96
91
1,175
919
878
721
335
295
230
49
Total
Total
What is the probability of a student being a “Freshman,” given that the student is on
academic probation? (For answers up to four decimal places, enter the number
in the box below without rounding it. For answers that have more than four
decimal values, round your answer to four decimal places).
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10/30/21, 1:16 AM
Quiz: Section 8.2
Section 8.2
Started: Oct 27 at 11:44pm
Quiz Instructions
Question 1
If P (A) =0.48 and
find P (A ∣ B) =?
3 pts
0.61
P (B) =
, and
P (A ∪ B) =
0.6 , calculate and
Note: If your final answer has up to four decimal places, enter your answer in the box
below without rounding it. But if your final answer has more than four decimal places,
then round the number to four decimal places.
Question 2
Let A and B be independent events with
0.21. Calculate and find P (A ∩ B) =?
3 pts
0.49
P (A) =
and
P (B) =
Note: If your final answer has up to four decimal places, enter your answer in the box
below without rounding it. But if your final answer has more than four decimal places,
then round the number to four decimal places.
Question 3
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If
Quiz: Section 8.2
A
that
and
are independent events, calculate and find
B
0.14
P (A) =
and
P (A ∪ B) =
P (B) =?
, knowing
0.67.
Note: If your final answer has up to four decimal places, enter your answer in the box
below without rounding it. But if your final answer has more than four decimal places,
then round the number to four decimal places.
Question 4
If A and B are independent events with
Calculate and find P (A ∪ B) =?
3 pts
0.34
P (A) =
and
0.36
P (B) =
Note: If your final answer has up to four decimal places, enter your answer in the box
below without rounding it. But if your final answer has more than four decimal places,
then round the number to four decimal places.
Question 5
If A and B are independent events with
Calculate and find P (A ∣ B) =?
3 pts
0.63
P (A) =
and
0.5
P (B) =
Note: If your final answer has up to four decimal places, enter your answer in the box
below without rounding it. But if your final answer has more than four decimal places,
then round the number to four decimal places.
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Quiz: Section 8.2
Question 6
If A and B are independent events with
Calculate and find P (B ∣ A) =?
3 pts
0.28
P (A) =
and
0.45
P (B) =
Note: If your final answer has up to four decimal places, enter your answer in the box
below without rounding it. But if your final answer has more than four decimal places,
then round the number to four decimal places.
Question 7
Let
A
and
P (A ∩ B)
be independent events with
=0.07. Calculate and find
P (A)
B
3 pts
0.97 and
P (B) =
=?
Note: If your final answer has up to four decimal places, enter your answer in the box
below without rounding it. But if your final answer has more than four decimal places,
then round the number to four decimal places.
Question 8
3 pts
A nationwide survey showed that 24% of all children in the United States dislike
eating vegetables. If two children are chosen at random, assuming that their taste for
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Quiz: Section 8.2
vegetables is independent of one another, what is the probability that both dislike
eating vegetables?
Note: If your final answer has up to four decimal places, enter your answer in the box
below without rounding it. But if your final answer has more than four decimal places,
then round the number to four decimal places.
Question 9
3 pts
The probability of Alex winning a game of chess with his high school classmates is
0.35 , and the probability of his twin sister, Alice, winning a game of chess is 0.7 .
Assuming that either one winning a game of chess with their classmates is
independent of the other, what is the probability that at least one of them will win the
next game of chess with their classmates?
Note: If your final answer has up to four decimal places, enter your answer in the box
below without rounding it. But if your final answer has more than four decimal places,
then round the number to four decimal places.
Question 10
3 pts
Suppose that there is a 0.04 probability that the child of a diabetic parent will
become diabetic as well. If a diabetic parent has two children, assuming that a child’s
health is independent of her/his sibling’s health, what is the probability that neither
one will become diabetic?
Note: If your final answer has up to four decimal places, enter your answer in the box
below without rounding it. But if your final answer has more than four decimal places,
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Quiz: Section 8.2
then round the number to four decimal places.
Question 11
3 pts
A recent survey of technology professionals who work in Silicon Valley revealed that
63% have a master’s degree. Two technology professionals who work in Silicon
Valley are randomly selected. Assuming that the academic background of the
professionals in Silicon Valley is independent of one another: (Enter your answers
below without rounding them)
a) What is the probability that both have a master’s degree?
b) What is the probability that at least one of them has a master’s degree?
c) What is the probability that neither one has a master’s degree?
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Quiz: Section 8.3
Section 8.3
Started: Oct 27 at 11:44pm
Quiz Instructions
Question 1
5 pts
Events A1 and A2 are mutually exclusive and form a complete partition of a sample
space S with P (A1 ) = 0.38 . If E is an event in S with P (E ∣ A1 ) =0.08
and P (E ∣ A2 ) = 0.09 , compute P (E) =? (Hint: Because A1 and A2 are
mutually exclusive and form a complete partition of the sample space,
P (A2 ) = 1 − P (A1 ) ).
Note: If your final answer has up to four decimal places, please enter your full answer
without rounding it. If your answer contains more than four decimal places, please
round it to four decimal places before entering it in the box below.
Question 2
5 pts
Events A1 and A2 are mutually exclusive and form a complete partition of a sample
space S with P (A2 ) = 0.41 . If E is an event in S with P (E ∣ A1 ) =0.13
and P (E ∣ A2 ) = 0.16 , compute P (A2 ∣ E) =? (Hint: Because A1 and
are mutually exclusive and form a complete partition of the sample space,
P (A1 ) = 1 − P (A2 ) ).
A2
Note: If your final answer has up to four decimal places, please enter your full answer
without rounding it. If your answer contains more than four decimal places, please
round it to four decimal places before entering it in the box below.
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Quiz: Section 8.3
Question 3
5 pts
Events A1 and A2 are mutually exclusive and form a complete partition of a sample
space S with P (A2 ) = 0.48 . If E is an event in S with P (E ∣ A1 ) =0.24
and P (E ∣ A2 ) = 0.12 , compute P (A2 ∣ E) =? (Hint: Because A1 and A2
are mutually exclusive and form a complete partition of the sample space,
P (A1 ) = 1 − P (A2 ) ).
Note: If your final answer has up to four decimal places, please enter your full answer
without rounding it. If your answer contains more than four decimal places, please
round it to four decimal places before entering it in the box below.
Question 4
5 pts
Events A1 and A2 are mutually exclusive and form a complete partition of a sample
space S with P (A1 ) = 0.47 . If E is an event in S with P (E ∣ A1 ) =0.11
and P (E ∣ A2 ) = 0.13 , compute P (A1 ∣ E) =? (Hint: Because A1 and A2
are mutually exclusive and form a complete partition of the sample space,
P (A2 ) = 1 − P (A1 ) ).
Note: If your final answer has up to four decimal places, please enter your full answer
without rounding it. If your answer contains more than four decimal places, please
round it to four decimal places before entering it in the box below.
Question 5
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Quiz: Section 8.3
Events A1 and A2 are mutually exclusive and form a complete partition of a sample
space S with P (A1 ) = 0.48 . If E is an event in S with P (E ∣ A1 ) =0.23
and P (E ∣ A2 ) = 0.15 , compute P (E) =? (Hint: Because A1 and A2 are
mutually exclusive and form a complete partition of the sample space,
P (A2 ) = 1 − P (A1 ) ).
Note: If your final answer has up to four decimal places, please enter your full answer
without rounding it. If your answer contains more than four decimal places, please
round it to four decimal places before entering it in the box below.
Question 6
Events
A1
and
5 pts
A2
are mutually exclusive and form a complete partition of a sample
space S with P (A1 ) = 0.65 . If E is an event in S with P (E ∣ A1 ) =0.16
and P (E ∣ A2 ) = 0.14 , compute P (A1 ∣ E) =? (Hint: Because A1 and A2
are mutually exclusive and form a complete partition of the sample space,
P (A2 ) = 1 − P (A1 ) ).
Note: If your final answer has up to four decimal places, please enter your full answer
without rounding it. If your answer contains more than four decimal places, please
round it to four decimal places before entering it in the box below.
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11/1/21, 2:01 PM
Quiz: Section 8.1
Section 8.1
Started: Nov 1 at 2:01pm
Quiz Instructions
Question 1
4 pts
Given the following Venn diagram:
Note: When answering the questions below, for any final answer that has up to four
decimal places, enter your answer without rounding the number. For any answers
with more than four decimal values, round your final answer to four decimal places.
a) Calculate the probability
P(A | B) = ?
b) Calculate the probability
P(B | A) = ?
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Question 2
Quiz: Section 8.1
4 pts
Consider the following Venn Diagram, which was constructed based on the data from
a survey of
193 UNLV students about whether or not they had any of the three
social media accounts.
a) What is the probability that a UNLV student has a Facebook account, but not a
Twitter account?(Round your answer to four decimal places before entering in the
box below).
b) What is the probability that a UNLV student has both Instagram AND Twitter
accounts, but not a Facebook account? (Round your answer to four decimal
places before entering in the box below).
Question 3
4 pts
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Quiz: Section 8.1
Given the following Venn diagram:
Note: When answering the questions below, for any final answer that has up to four
decimal places, enter your answer without rounding the number. For any answers
with more than four decimal values, round your final answer to four decimal places.
a) Calculate the probability
P(A | B) = ?
b) Calculate the probability
P(B | A) = ?
Question 4
3 pts
Suppose
6 yellow and
7 red identical objects are in a jar. A blindfolded
person randomly selects two of these objects from the jar one after another, without
replacing them back into the jar. The following tree diagram depicts all the possible
random outcomes, but the branch probabilities are missing.
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Quiz: Section 8.1
Note: For all questions below, please enter your answers in fraction form.
a) What is the value of the branch probability
c= ?
b) What is the value of the branch probability
b= ?
c) What is the value of the branch probability
f= ?
Question 5
Suppose
5 blue and
3 pts
2
yellow identical objects are in a jar. A blindfolded
person randomly selects two of these objects from the jar one after another, without
replacing them back into the jar. The following tree diagram depicts all the possible
random outcomes, but the branch probabilities are missing.
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Quiz: Section 8.1
Note: For all questions below, please enter your answers in fraction form.
a) What is the value of the branch probability
a= ?
b) What is the value of the branch probability
e= ?
c) What is the value of the branch probability
c= ?
Question 6
Suppose
9 orange and
3 pts
3 blue identical objects are in a jar. A blindfolded
person randomly selects two of these objects from the jar one after another, without
replacing them back into the jar. The following tree diagram depicts all the possible
random outcomes, but the branch probabilities are missing.
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Quiz: Section 8.1
Note: For all questions below, please enter your answers in fraction form.
a) What is the value of the branch probability
b= ?
b) What is the value of the branch probability
e= ?
c) What is the value of the branch probability
c= ?
Question 7
Let
E and
3 pts
F
be the events in a sample space
P(E | F) = 0.187 ,
P(E ∩ F) = ?
S
such that
P(F) = 0.578. Calculate
Note: For any final answer that has up to four decimal places, enter your answer in
the box below without rounding the number. For any answer with more than four
decimal values, round your final answer to four decimal places.
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Quiz: Section 8.1
Question 8
If
E and
F are events with
P(E | F) = 0.494 , find
3 pts
P(E ∩ F) = 0.229 ,
P(F) = ?
and
Note: For any final answer that has up to four decimal places, enter your answer in
the box below without rounding the number. For any answer with more than four
decimal values, round your final answer to four decimal places.
Question 9
If E and
F are events with
P(E) = 0.357 ,
0.402 , and
P(E ∩ F) = 0.106 , calculate
3 pts
P(F) =
P(F | E) = ?
Note: For any final answer that has up to four decimal places, enter your answer in
the box below without rounding the number. For any answer with more than four
decimal values, round your final answer to four decimal places.
Question 10
3 pts
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If
Quiz: Section 8.1
E and
,
F are events with
and
P(E) = 0.501
,
P(E ∩ F) = 0.14 , calculate
P(F) = 0.51
P(E | F) = ?
Note: For any final answer that has up to four decimal places, enter your answer in
the box below without rounding the number. For any answer with more than four
decimal values, round your final answer to four decimal places.
Question 11
3 pts
Suppose
7 orange and
4 blue identical objects are in a jar. A blindfolded
person randomly selects two of these objects from the jar one after another, without
replacing them back into the jar. The following tree diagram depicts all the possible
random outcomes and their probabilities.
Note: Please enter your answers below in fraction form.
a) What is the conditional probability
P(Orange
| Orange)
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= ?
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Quiz: Section 8.1
b) What is the probability of obtaining a final outcome with one orange object?
Question 12
3 pts
Suppose 7 yellow and
5 red identical objects are in a jar. A blindfolded
person randomly selects two of these objects from the jar one after another, without
replacing them back into the jar. The following tree diagram depicts all the possible
random outcomes and their probabilities.
Note: Please enter your answers below in fraction form.
a) What is the conditional probability
P(Yellow | Red) = ?
b) What is the probability of obtaining at least one red object in a final outcome?
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Quiz: Section 8.1
Question 13
3 pts
Suppose 5 red and
3 yellow identical objects are in a jar. A blindfolded person
randomly selects two of these objects from the jar one after another, without replacing
them back into the jar. The following tree diagram depicts all the possible random
outcomes and their probabilities.
Note: Please enter your answers below in fraction form.
a) What is the conditional probability
P(Red | Yellow) = ?
b) What is the probability of obtaining a final outcome with one yellow object?
Question 14
2 pts
The data gathered from a survey of a random group of undergraduate university
students about their academic standing are:
a 11 = 60 ,
a 12 = 108 ,
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a 13 = 77
,
a 14 = 40 ,
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a 21 = 948 ,
a 22 = 750 ,
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Quiz: Section 8.1
a 23 = 950 ,
a 24 = 714 ,
a 33 = 160
a 34 = 51
,
a 31 = 411 ,
a 32 = 245 ,
The following contingency table was created based on the above data, where you will
need to calculate the grand total, the total for each row, and the total for each column
on your own before answering the question that appears after the table.
Academic
Standing
Freshman
Sophomore Junior
Senior
Honors
60
108
77
40
Satisfactory
948
750
950
714
Probation
411
245
160
51
Total
Total
What is the probability of a student having a “Satisfactory” academic standing, given
that the student is a senior? (For answers up to four decimal places, enter the
number in the box below without rounding it. For answers that have more than
four decimal values, round your answer to four decimal places).
Question 15
2 pts
The raw data gathered on a university campus from a survey of art degree majors
and their residency status were as follows:
a 13 = 37 ,
a 31 = 25 ,
a 21 = 115 ,
a 32 = 16 ,
a 11 = 79 ,
a 22 = 92 ,
a 33 = 5 ,
a 12 = 46 ,
a 23 = 45 ,
a 41 = 66 ,
a 42 = 67 ,
a 43 = 21
The following contingency table was created based on the above data, where you will
need to calculate the grand total, the total for each row, and the total for each column
on your own before answering the question that appears after the table.
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In-State
Students
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Out-of-State
Students
International
Students
Total
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Quiz: Section 8.1
Digital Media
79
46
37
Drawing/Painting
115
92
45
Sculpture
25
16
5
Studio Arts
66
67
21
Total
Calculate the probability that someone is a sculpture major, given that the individual
is an international student. (For answers up to four decimal places, enter the
number in the box below without rounding it. For answers that have more than
four decimal values, round your answer to four decimal places).
Question 16
2 pts
The data gathered from an actual random sample of adults classified according to
their gender and favorite way to eat ice cream are as follows:
a 11 = 456 ,
a 12 = 282 ,
a 13 = 82 ,
a 14 = 32
a 21 = 539 ,
a 22 = 334 ,
,
a 23 = 71 ,
a 15 = 76 ,
a 24 = 37 ,
a 25 = 38
The following contingency table was created based on the above data, where you will
need to calculate the grand total, the total for each row, and the total for each column
on your own before answering the question that appears after the table
Cup
Cone
Sundae
Sandwich
Other
Female
456
282
82
32
76
Male
539
334
71
37
38
Total
Total
Calculate the probability that someone is male, given that the person’s favorite way to
eat ice cream is in a cone. (For answers up to four decimal places, enter the
number in the box below without rounding it. For answers that have more than
four
decimal
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math:
100% values, round your answer to four decimal places).
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Quiz: Section 8.1
Question 17
2 pts
The data gathered from a survey of a random group of people about their smoking
habits and their bodily weights are:
a 11 = 147 ,
a 12 = 278 ,
a 13 =
12 ,
a 21 = 242 ,
a 32 = 344 ,
a 43 = 16 ,
a 22 = 223 ,
a 33 = 38 ,
a 51 = 604 ,
a 23 = 65 ,
a 41 = 169 ,
a 52 = 2,126 ,
a 31 = 191 ,
a 42 = 344 ,
a 53 = 88
The following contingency table was created based on the above data, where you will
need to calculate the grand total, the total for each row, and the total for each column
on your own before answering the question that appears after the table.
SMOKING
BODILY
WEIGHT
STATUS
STATUS
Normal
Overweight
Underweight
Very heavy
147
278
12
Heavy
242
223
65
Moderate
191
344
38
Light
169
344
16
Non-Smoker
604
2,126
88
Total
Total
Calculate the probability of someone who is a very heavy smoker, given that the
individual is underweight (For answers up to four decimal places, enter the
number in the box below without rounding it. For answers that have more than
four decimal values, round your answer to four decimal places).
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Quiz: Section 8.1
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