65. A friend of ours takes the bus ve days per week to her job. The ve waiting times until she can board the bus are a random sample from a uniform distribution on the interval from 0 to 10 min.

a. Determine the pdf and then the expected value of the largest of the ve waiting times.

b. Determine the expected value of the difference between the largest and smallest times.

c. What is the expected value of the sample median waiting time?

d. What is the standard deviation of the largest time?