(1 point) A poker hand, consisting of 8 cards, is dealt from a standard deck of 52 cards. Find the probability that the hand contains 8 hearts. Answer: Note: Round off your answer to 6 decimal places.(1 point) Consider the following discrete probability distribution. X 1 2 3 4 5 P(x) 0.1 0.2 0.3 0.1 ??? Compute: (a) The missing probability = (b) Expected value = (c) Standard deviation =(1 point) 5 cards are drawn at random from a standard deck. a) Find the probability that all the cards are hearts. b) Find the probability that all the cards are face cards. Note: Face cards are kings, queens, and jacks. c) Find the probability that all the cards are even. (Consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13)