A shipment of 120 graphics cards contains 10 that are defective. Serena selects five of these cards,

Question:

A shipment of 120 graphics cards contains 10 that are defective. Serena selects five of these cards, without replacement, and inspects them to see which, if any, are defective. If the random variable X counts the number of defective graphics cards in Serena's selection, determine
(a) Pr(X = x), x = 0, 1, 2, . .., 5;
(b) Pr(X = 4).
(c) Pr(X > 4).
(d) Pr(X = 1|Z < 2).