normal distribution, mean range percentage average and standard deviation. The questions are in the files each picture is a question. Thank you!!!
The annual rainfall in a certain region is approximately normally distributed with mean 42.4 inches and standard deviation 5.3 inches. Round answers to the nearest tenth of a percent.
a) What percentage of years will have an annual rainfall of less than 44 inches? %
b) What percentage of years will have an annual rainfall of more than 39 inches? %
c) What percentage of years will have an annual rainfall of between 37 inches and 43 inches?
%
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5 days and standard deviation of 1.1 days. Use your graphing calculator to answer the following questions.
Write your answers in percent form. Round your answers to the nearest tenth of a percent.
a) What is the probability of spending less than 9 days in recovery? %
b) What is the probability of spending more than 6 days in recovery? | %
c) What is the probability of spending between 6 days and 9 days in recovery?
%
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 245 feet and a standard deviation of 51 feet.
Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.
a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 198 feet?
P(fewer than 198 feet) %
b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 228 feet?
P(more than 228 feet)
%
IQ is normally distributed with a mean of 100 and a standard deviation of 15.
a) Suppose one individual is randomly chosen. Find the probability that this person has an IQ greater than 95.
Write your answer in percent form. Round to the nearest tenth of a percent.
P(IQ greater than 95) = %
b) Suppose one individual is randomly chosen. Find the probability that this person has an IQ less than 125.
Write your answer in percent form. Round to the nearest tenth of a percent.
P(IQ less than 125) = %
c) In a sample of 700 people, how many people would have an IQ less than 110?
people
d) In a sample of 700 people, how many people would have an IQ greater than 140?
people
The weights for newborn babies is approximately normally distributed with a mean of 6.2 pounds and a standard deviation of 1.5 pounds.
Consider a group of 1300 newborn babies:
1. How many would you expect to weigh between 4 and 8 pounds?
2. How many would you expect to weigh less than 7 pounds?
3. How many would you expect to weigh more than 6 pounds?
4. How many would you expect to weigh between 6.2 and 10 pounds?
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