Guests at a hotel spend a mean of 11.4 minutes/day in the shower.  These times are normally distributed with a standard deviation of 2.6 minutes.  The hotel has installed a system that can provide enough hot water provided that the mean shower time of 84 guests is less than 12 minutes.  If the hotel currently has 84 guests, what is the probability that there will not be enough hot water?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Guests at a hotel spend a mean of 11.4 minutes/day in the shower.  These times are normally distributed with a standard deviation of 2.6 minutes.  The hotel has installed a system that can provide enough hot water provided that the mean shower time of 84 guests is less than 12 minutes.  If the hotel currently has 84 guests, what is the probability that there will not be enough hot water? 

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