1973

According to the Opinion Research Corporation, the time men spend in the shower follows a normal distribution with a mean of 11.4 minutes and a standard deviation of1.8 minutes.
(a) Based on this model, find the probability of men that spend less than 10 minutes in the shower? (Be sure to include a picture and the calculator functionused).
(b) What is the minimum time the slowest 5% spend in the shower? (Be sure to include a picture and the calculator function used).
(c) If five men are randomly selected, find the probability that their mean time they spend in the shower is greater than 13 minutes.