In any game, the number of passes N that Tom Brady will throw has a Poisson distribution with expected value it = 30. Each pass is caught by his receiver with probability g and is not caught with probability %, independent of any other pass or the number of passes thrown. Let N K = E X; equal the number of caught passes Brady throws in a game, where X; 6 {0,1} is 21 Bernoul]i(2/3}1 with '1' indicating a caught pass. a) Determine E[K]. Show all your work. (8 Points) b) Determine Var(K) Show all your work. (10 Points)