Answer to Question #323817 in Statistics and Probability for Bless

Question

A corporation is sampling without replacement for n = 3 firms to determine the one from which to purchase certain supplies. The sample is to be selected from a pool of six firms, of which four are local and two are not local. Let Y denote the number of non-local firms among the three selected. Find:

(a) P(Y = 1)

(b) P(Y ≥ 1)

(c) P(Y ≤ 1)