In any game, the number of passes N that John Elway will throw has a Poisson distribution with expected value = 30. Each pass is caught by his receiver with probability 2/3 and is not caught with probability 1/3 , independent of any other pass or the number of passes thrown. Let K =the sum of Xi from i=1 to N equal to the number of caught passes Elway throws in a game, where Xi E{0,1} is Bernoulli(2/3), with `1' indicating a caught pass. Determine E[K], and Var(K). Show all your work.