The service time at an automobile center has a Lognormal distribution with parameters 1.0 and mean of 3.4.

(a) What is the probability that a customer will have to wait for more than 4.69 hours?

(b) What is the probability that at least 8 of the next 10 customers will have to wait for more than 4.69 hours?

(c) What is the expected number of customers that will have to wait more than 4.69 hours?

(d) What is the median service time?

(e) What is the 95th percentile of service time?

(f) What is the probability that service will require another 2 hours, given it has taken 4 hours?

**Subject Mathematics Advanced Statistics**