The amount of time John spends at work on any particular day is a random varibale Y_i,that follows the Gamma(, ) distribution, idndependently across days.Furthermore, in any given week, the number of days John works is a random variable N that follows the Bin(7,p) distribution for some fixed constant p in [0, 1]. Let T denote the total amount of time John spends at work in a week; that is, T = sum(Y_i). What is E[T| N=n]?