as stated in the picture

2. (14 pts.) Continue on with the setting in the previous question. Customers arrive to a coffee shop according to a Poisson process with rate 10 per hour. Let N (t) be the number of arrivals by time t (in hours). Let T1,T2, - -- be the arrival times. Let X1,X2, - -- be i.i.d. random variables with uniform distribution over the interval [3, 7], independent of the arrival process. (a) What is the distribution of T1? (b) Describe the conditional distribution of (T1, T2) given that N (t) = 2. (0) Compute the conditional probability P(T1 > t/ 3 | N (t) = 2)