Midwest Fan Manufacturing Inc. was established in 1986 as a manufacturer and distributor of quality ventilation equipment. Midwest Fan’s products include the AXC range hood exhaust fans. The file entitled Fan Life contains the length of life of 125 randomly chosen AXC fans that were used in an accelerated life-testing experiment.

a. Produce a relative frequency histogram for the data. Does it seem plausible the data came from a population that has an exponential distribution?

b. Calculate the mean and standard deviation of the fans’ length of life.

c. Calculate the median length of life of the fans.

d. Determine the probability that a randomly chosen fan will have a life of more than 25,000 hours.