Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 520 and a standard deviation of 210. The supermarket is open 12 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 7400? (Hint: Calculate the average hourly number of customers necessary to exceed 7400 in one 12-hour day.)

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
Section13.3: Special Probability Density Functions
Problem 7E
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Suppose that the number of customers who enter a
supermarket each hour is normally distributed with a
mean of 520 and a standard deviation of 210. The
supermarket is open 12 hours per day. What is the
probability that the total number of customers who
enter the supermarket in one day is greater than
7400? (Hint: Calculate the average hourly number of
customers necessary to exceed 7400 in one 12-hour
day.)
Transcribed Image Text:Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 520 and a standard deviation of 210. The supermarket is open 12 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 7400? (Hint: Calculate the average hourly number of customers necessary to exceed 7400 in one 12-hour day.)
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