#2 A security guard knows that the time it takes to make the rounds in a certain warehouse is a random variable having a normal distribution with a mean of 18 minutes and a standard deviation of 3.2 minutes. What is the probability that the average time a sample of 64 security guards will take to complete the rounds of the warehouse is (a) more than 17 minutes? (b) between 17 and 18.9 minutes?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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#2 A security guard knows that the time it takes to make the rounds
in a certain warehouse is a random variable having a normal
distribution with a mean of 18 minutes and a standard deviation of 3.2
minutes. What is the probability that the average time a sample of
64 security guards will take to complete the rounds of the warehouse
is
(a) more than 17 minutes?
(b) between 17 and 18.9 minutes?
Transcribed Image Text:#2 A security guard knows that the time it takes to make the rounds in a certain warehouse is a random variable having a normal distribution with a mean of 18 minutes and a standard deviation of 3.2 minutes. What is the probability that the average time a sample of 64 security guards will take to complete the rounds of the warehouse is (a) more than 17 minutes? (b) between 17 and 18.9 minutes?
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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