Q2 (25 points): An administrative assistant schedules two patient appointments for the same time; the physician is only able to meet with one patient at a time. The appointment durations are independent and exponentially distributed with mean 1. a) Suppose that the first patient arrives on time, but the second patient arrives 6 minutes late. Determine the expected value and the variance of the time between the arrival of the first patient and the departure of the second patient as a function of 1. b) Repeat part a) assuming that the delay in the arrival time of the second patient is exponentially distributed with mean μ.