MATH 132 UNLV The Chicago Bears Football Team and School Fundraiser Question

10/20/21, 2:50 PMQuiz: Section 7.5
Section 7.5
Started: Oct 20 at 2:49pm
Quiz Instructions
Question 1
Given P (E) =0.446 ,
of P (E ∪ F ) =?
3 pts
0.316 ,
P (F ) =
P (E ∩ F ) =
0.283 , what is the value
Note: Enter your answer in the box below without rounding it.
Question 2
3 pts
The Chicago Bears football team has a probability of 0.52 to win the next game,
and a probability of 0.14 to tie the next game. What is the probability for the team
to lose the next game?
Note: Please enter your final answer in full without rounding it.
Question 3
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3 pts
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Given
Quiz: Section 7.5
P (E) =
value of
0.415 ,
0.376 ,
P (F ) =
P (E ∪ F ) =
0.652 ,
what is the
P (E ∩ F ) =?
Note: Enter your answer in the box below without rounding it.
Question 4
3 pts
Traffic engineers are investigating the high rate of fatal accidents at a lighted city
intersection. They discover that 9 % of the cars that are within 200 feet of the
intersection when the light turns red pass through the red light without stopping.
Suppose two cars are now within 200 feet of the intersection and the light turns red.
Assuming that drivers behave independently of one another, What is the probability
that both drivers pass through the red light without stopping? (Please do not round
your answer).
Question 5
Given
3 pts
0.436
P (A) =
other words, what is
what is the probability of complement,
¯
¯
¯
¯
A
, of the event? In
¯
¯
¯
¯
P (A) =?
Note: Enter your answer in the box below without rounding it.
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Quiz: Section 7.5
Question 6
Given,
P (E) =
3 pts
0.134 ,
P (E ∪ F ) =
0.458
,
P (E ∩ F ) =
0.065 ,
what is
P (F ) =?
Note: Enter your answer in the box below without rounding it.
Question 7
3 pts
In the days he was still playing, Reggie Miller could score from the free-throw line 86
% of the time. Suppose he is playing in a game and he is fouled and has got to shoot
two. Assuming that the result of each free-throw is independent of the result of the
other free-throw, What is the probability that he will score at least one of the shots?
Note: Please enter your answer in the box below without rounding it.
Question 8
Determine the probability of event
to 6.
3 pts
E
if the odds for (i.e., in favor of)
E
are
26
Note: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.
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Quiz: Section 7.5
Question 9
Determine the probability of event
3 pts
E
if the odds against
E
are
6
to
1.
Note: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.
Question 10
3 pts
In the days he was still playing, Reggie Miller could score from the free-throw line 91
% of the time. Suppose he is playing in a game and he is fouled and has got to shoot
two. Assuming that the result of each free-throw is independent of the result of the
other free-throw, What is the probability that he will score on both shots?
Note: Please enter your answer in the box below without rounding it.
Question 11
3 pts
Anne is taking courses in both mathematics and English. She estimates her
probability of passing mathematics at 0.44 and passing English at 0.43 , and
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Quiz: Section 7.5
she estimates her probability of passing at least one of the courses at 0.78 . What
is the probability that Anne could pass both courses?
Note: Enter your final answer in the box below without rounding it.
Question 12
3 pts
Traffic engineers are investigating the high rate of fatal accidents at a lighted city
intersection. They discover that 23 % of the cars that are within 200 feet of the
intersection when the light turns red pass through the red light without stopping.
Suppose two cars are now within 200 feet of the intersection and the light turns red.
Assuming that drivers behave independently of one another, What is the probability
that at least one of the drivers passes through the red light without stopping?
(Please do not round your answer).
Question 13
Suppose events
0.164
P (A) =
3 pts
A
and
and
B
are mutually exclusive events in sample space
0.138, what is the value of
P (B) =
S.
If
¯
¯¯¯¯
¯¯¯¯
¯¯¯
¯
P (A ∪ B ) =?
Note: Enter your full answer in the box below without rounding it.
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Quiz: Section 7.5
Question 14
Determine the probability of event
to 22.
3 pts
E
if the odds for (i.e., in favor of)
E
are
24
Note: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.
Question 15
Determine the probability of event
3 pts
E
if the odds against
E
are
23
to
18.
Note: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.
Question 16
2 pts
Given the following Venn diagram:
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Quiz: Section 7.5
answer the following questions by filling in each box with the appropriate value.
a)
P (A ∪ B) =
b)
P (A but not B) =
c)
P (B but not C ) =
d)
P (neither A
nor
B nor C ) =
Question 17
2 pts
Given the following Venn diagram:
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Quiz: Section 7.5
answer the following questions by filling in each box with the appropriate value.
a)
P (A ∪ C ) =
b)
P (C but not A) =
c)
P (B but not C ) =
d)
P (neither B
nor C ) =
Question 18
2 pts
Given the following Venn diagram:
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Quiz: Section 7.5
answer the following questions by filling in each box with the appropriate value.
a)
P (A ∪ B) =
b)
P (A ∩ B) =
c)
P (B but not A) =
d)
P (not B) =
Question 19
3 pts
If P (E) = 0.75 , then calculate and find that (enter one digit per box after
simplifying your numbers to the extent possible):
a) The odds for
E
b) The odds against
are:
E
to
are:
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to
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Quiz: Section 7.5
Question 20
3 pts
If P (E) = 0.95 , then calculate and find that (enter one digit per box after
simplifying your numbers to the extent possible):
a) The odds for
E
b) The odds against
are:
E
to
are:
to
Question 21
3 pts
If P (E) = 0.3 , then calculate and find that (enter one digit per box after
simplifying your numbers to the extent possible):
a) The odds for
E
b) The odds against
are:
E
to
are:
to
Question 22
If
P (E) = 0.36
3 pts
, then calculate and find that (enter one digit per box after
simplifying your numbers to the extent possible):
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a) The odds for
Quiz: Section 7.5
are:
E
b) The odds against
E
to
are:
to
Question 23
Suppose events
4 pts
and F are independent, with
P (F ) = 0.42
and
P (E ∩ F ) = 0.0672 . Calculate the following and enter your answer one digit per
box (Please simplify your numbers to the extent possible).
a) The odds for
E
E
b) The odds against
are:
E
to
are:
to
Question 24
Suppose events
4 pts
and F are independent, with
P (F ) = 0.48
and
P (E ∩ F ) = 0.1248 . Calculate the following and enter your answer one digit per
box (Please simplify your numbers to the extent possible).
a) The odds for
E
E
b) The odds against
are:
E
to
are:
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Quiz: Section 7.5
Question 25
4 pts
Suppose events
and P (E ∪ F )
E
=
and F are mutually exclusive, with
P (F ) = 0.10
0.82 . Calculate the following and enter your answer one digit
per box (Please simplify your numbers to the extent possible).
a) The odds for
E
b) The odds against
are:
E
to
are:
to
Question 26
4 pts
Suppose events E and F are mutually exclusive, with
P (F ) = 0.54
and P (E ∪ F ) = 0.64 . Calculate the following and enter your answer one digit
per box (Please simplify your numbers to the extent possible).
a) The odds for
E
b) The odds against
are:
E
to
are:
to
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Quiz: Section 7.6
Section 7.6
Started: Oct 20 at 2:49pm
Quiz Instructions
Question 1
4 pts
Allison purchases one lottery raffle ticket for a school fundraiser. The raffle ticket cost
$11. The school is selling 20,567 tickets. One ticket will be randomly drawn and
the winner will receive $65,666. Assuming all of the tickets are sold, and using the
expected value of a ticket, compute the expected gain or loss for Allison.
Note: Please avoid rounding numbers in the middle of your calculations. However,
round your final answer to two decimal places, before entering it in the box below. A
negative final answer indicates an expected loss to Allison for playing the lottery
raffle.
Question 2
4 pts
A company makes electronic gadgets. One out of every 40 gadgets is faulty, but the
company doesn’t know which ones are faulty until a buyer complains. Suppose the
company makes a $2 profit on the sale of any working gadget, but suffers a loss of
$35 for every faulty gadget because they have to repair the unit. What is the
expected profit or loss for every batch of 40 gadgets sold? (Round your final answer
to two decimal places and select the most accurate option from below).
An expected loss of $7.12
An expected loss of $8.14
An expected profit of $4.63
Correct answer is not listed
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Quiz: Section 7.6
An expected profit of $25
An expected profit of $0.84
An expected profit of $1.08
An expected loss of $3.65
Question 3
4 pts
Amita pays $0.56 to play a game at a local fair that involves receiving the number
of quarters that corresponds to the number that comes up on the roll of a die. Using
the expected value of the game, compute the expected gain or loss for Amita.
Note: Please avoid rounding numbers in the middle of your calculations. However,
round your final answer to two decimal places, before entering it in the box below. A
negative final answer indicates an expected loss for Amita for playing the game.
Question 4
4 pts
A construction contractor is considering to bid on completing a project that promises
a profit of $24,239 with a probability of 0.79 , or a loss (due to bad weather, worker
strikes, etc.) of $5,133 with a probability that is the complement probability of making
a profit. What is the expected profit for the contractor?
Note: Please avoid rounding numbers in the middle of your calculations. However,
round your final answer to two decimal places, (such as 80.76 or 1200.34, and so
on) before entering it in the box below. There is no need to enter the $ symbol in the
answer box.
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Quiz: Section 7.6
Question 5
4 pts
A company makes electronic gadgets. One out of every
50
gadgets is faulty, but the
company doesn’t know which ones are faulty until a buyer complains. Suppose the
company makes a $3 profit on the sale of any working gadget, but suffers a loss of
$80 for every faulty gadget because they have to repair the unit. What is the
expected profit or loss for every batch of 50 gadgets sold? (Round your final answer
to two decimal places and select the most accurate option from below).
An expected loss of $2.65
An expected profit of $5.80
An expected profit of
$1.34
An expected loss of $2.25
An expected profit of $0.87
Correct answer is not listed
An expected profit of $6.23
An expected loss of $3.25
Question 6
A 37 year old man in the United States has a 0.191%
4 pts
risk of dying during the
next year. An insurance company charges a premium of $392
for a life insurance
policy that pays a $192,808 death benefit. What is the expected gain or loss to the
man when purchasing the insurance policy?
Hint: Calculate the expected loss of the premium if the man survives (always a
negative value), then calculate the expected gain to the beneficiaries if the man dies
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Quiz: Section 7.6
(always a positive value), and then add these two numbers to find the net result. A
negative net result should be entered as a negative value in the box below.
Note: Please avoid rounding numbers in the middle of your calculations. However,
round your final answer to two decimal places, before entering it in the box below. A
negative final answer indicates an expected loss for purchasing the policy.
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