16. The length of time that a 4 gigabyte PC computer memory module operates until failure is the outcome of an exponential random variable with mean EX ¼ 3.25, where x is measured in 100,000 hour units.

(a) Simulate the operating lives of 10 memory modules using the following 10 outcomes from a Uniform(0,1)

computer random number generator:

(.2558,.5938,.1424,.9476,.5748,.8641,.0968,

.5839,.3201,.1577).

(b) Calculate the sample mean and sample variance, and compare them to the appropriate population mean and variance.