A very janky version of YU-GI-OH! allows a deck of 30 cards. Twelve of these cards are trap cards, and the other eighteen are not trap cards. You draw a single hand of five random cards from the shuffled deck. Let X be the number of trap cards in your hand. (e) What kind of distribution does X, the number of trap cards in your hand, have? Also give its parameters. O hypergeometric with N = 30, M = 12, and n = 5 O hypergeometric with W = 12, M = 5, and n = 12 O binomial with n = 12, x = 5, and p = 5/12 O binomial with n = 30, x = 12, and p = 5/30 (b) Find the probabilities of getting 2 trap cards in your hand, no more than two trap cards in your hand, and at least two trap cards in your hand. Round to four decimal places. Fr( Exactly 2 trap cards in your hand) = 4 Fr( No more than 2 trap cards in your hand) = Fr(At least 2 trap cards in your hand) = (c) Calculate the mean and standard deviation of the number of trap cards in your hand. Round to two decimal places. mean trap cards standard deviation 5 trap cards