Suppose you are going to select a sample of 5 cards from a randomized standard deck of 52 cards. Let the random variable X represent the total number...

Suppose you are going to select a sample of 5 cards from a randomized standard deck of 52 cards. Let the random variable X represent the total number of diamonds that you obtain.

(A) If you sample the cards without replacement, what is the probability distribution of X? In this case, what is the probability that at most 2 of the cards will be diamonds?

(B) If you sample the cards with replacement, what is the probability distribution of X? In this case, what is the probability that at most 2 of the cards will be diamonds?