In planning for hot water requirements, the manager of the Luxurion Hotel finds that guests spend a meanof 11.4 minutes each day in the shower. Assume that the shower times are normally distributed with a standard deviationof 2.6 min.
a. Find the percentage of guests who shower more than 12 minutes
b. The hotel has installed a system that can provide enough hot water provided that the mean shower time for 84 guests is less than 12 minutes. If the hotel currently has 84 guests, fin d the probabilitythat there will not be enough hot water. Does the current system appear to be effective?
The expert examines probability and normal distribution for hot water requirements.