The time required for housekeeping to clean a hotel room for the next customer varies between 25 and 45 minutes and follows the continuous uniform distribution.

a. Calculate the value of f(x).

b. What are the mean and standard deviation for this distribution?

c. What is the probability that the next room will require exactly 30 minutes to clean?

d. What is the probability that the next room will require less than 32 minutes to clean?

e. What is the probability that the next room will require more than 36 minutes to clean?

f. What is the probability that the next room will require between 28 and 34 minutes to clean?

g. What time represents the 70th percentile of this distribution?