2020 Jan

(b) Suppose in a manufacturing production line, the repair time (in hours) for

machine A follows an exponential distribution with mean = 1.5 hours and the

repair time for machine B also follows an exponential distribution with

variance = 4 (hours)².

(i)

Compute the probability that the repair time for machine A exceeds one

hour.

Compute the probability that the repair time for machine B exceeds one

hour.

(iii) Compute the median repair time for machine A.