After shuffling a deck of 52 cards, a dealer deals out 5. Let X = the number

Question:

After shuffling a deck of 52 cards, a deals out 5. Let X = the number of suits represented in the five-card hand.
a. Show that the pmf of X is

[p(1) = 4P(all are spades), p(2) = 6P(only spades and hearts with at least one of each suit), and p(4) = 4P(2 spades ˆ© one of each other suit).]
b. Compute µ, Ïƒ2, and Ïƒ.

Dealer
A dealer in the securities market is an individual or firm who stands ready and willing to buy a security for its own account (at its bid price) or sell from its own account (at its ask price). A dealer seeks to profit from the spread between the...