5. Question: During the summer months, the prices of nonsmoking rooms with a king-size bed in hotels in a certain area are roughly Normally distributed with a mean of $131.80 and a standard deviation of $29.12. (a) What percentage of nonsmoking rooms with a king-size bed cost more than $150? (b) A travel agent randomly selects prices of nonsmoking rooms with a king-size bed from 15 hotels in the area. What is the probability that their average cost will be more than $150