In any game, the number of passes N that Tom Brady will throw has a Poisson distribution with expected value p, = 30. Each pass is caught by his receiver with probability and is not caught with probability %, independent of any other pass or the number of passes thrown. Let K = X1- equal the number of caught passes Brady throws in a game, where X; E {011} is Berndljllli(2/3), with '1' indicating a caught pass. 3.) Determine E [K ] Show all your work. (8 Points) b) Determine Var(K) Show all your work. (10 Points)