8. A start-up technology company specializing in blood sugar testing for diabetics is interested how long the intra-body mechanism will work before a replacement is required. Follow up time from insertion follows an exponential distribution with a mean of 5 years. a) What's the probability that the mechanism will last 4.5 years? b) What's the probability that the mechanism will last between 3 and 6 years? c) What's the probability that the mechanism will last between 2 and 5 years?