Probability d. What proportion of the samples will have a mean useful life between 36.5 and 38.5 hours? Probability

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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please solve only d part
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean
life of these batteries follows a normal distribution with a mean of 37 hours and a
standard deviation of 5.5 hours. As a part of its quality assurance program, Power
+, Inc. tests samples of 9 batteries.
а.
What can you say about the shape of the distribution of the sample mean?
Sample (Click to
mean
select) Normal Uniform Binomial
Round answers to four decimal places.
b. What proportion of the samples will have a mean useful life of more than 38.5
hours?
Probability
What is the probability that a randomly selected AA battery will have a useful
life of at most 36.5 hours?
с.
Probability
d.
What proportion of the samples will have a mean useful life between 36.5 and
38.5 hours?
Probability
Transcribed Image Text:Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows a normal distribution with a mean of 37 hours and a standard deviation of 5.5 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 9 batteries. а. What can you say about the shape of the distribution of the sample mean? Sample (Click to mean select) Normal Uniform Binomial Round answers to four decimal places. b. What proportion of the samples will have a mean useful life of more than 38.5 hours? Probability What is the probability that a randomly selected AA battery will have a useful life of at most 36.5 hours? с. Probability d. What proportion of the samples will have a mean useful life between 36.5 and 38.5 hours? Probability
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