Question

A resort hotel administrator is assigned to conduct performance reviews of the 47 guest services representatives at the resort, and the length of time that the administrator typically spends doing each of these performance reviews is normally distributed with a mean of 63.9 minutes and a standard deviation of 18.4 minutes. The administrator is scheduled to meet with 7 guest service representatives today.

Standard Normal Distribution Table

a. What is the probability that the administrator will spend an average of less than one hour with each of the representatives?

Round to four decimal places if necessary

b. What is the probability that the administrator will spend a total of more than 7.5 hours with all 7 of the representatives?

Round to four decimal places if necessary

c. Within what range of values will the middle 99% of average times spent with each of the 7 representatives fall?

Range:

to

minutes

Round to one decimal place if necessary

d. What is the maximum total length of time the administrator would expect to spend with all 7 guest service representatives today, with a probability of 0.98?

minutes

Round to one decimal place if necessary

Answer 1

The solution to this problem is given by