Suppose you are out fishing and you want to predict the amount of time (in minutes) it takes to catch 3 fish. Let TFN(15,10) be the time it takes to reel in a fish. Let TTN(10,8) be the amount of time you spend waiting for the fish to take the bait. Assume TF and TT are independent. Also assume you start timing as soon as you start reeling in the first fish, and the time ends when you have finished catching the third fish.

a) Let T be the random variable for the total amount of time spent fishing. What is E[T] and Var[T]? Save your variables as exp.T and var.T