3-1. The nonmanagerial employees of ABC Corp. are classified into the following mutually exclusive groups: production, development, sales, and handling. The results of a recent union poll pertaining to the issue of expanded health benefits in lieu of wage increases are presented in the accompanying table. Given that an employee is to be chosen at random, determine each of the following probabilities.
Yes (Y) No(N) Indifferent (I )
Production (P) 57 49 5 Development (D) 22 10 1 Sales (S) 37 55 2 Handling (H) 14 38 5 (Hint: First obtain the marginal totals and then convert this table into a relative frequency table.)

(a) P(D ∩ N)

(b) P(D ∪ N)

(c) P(Y ∩ I)

(d) P(H ∩ Y)

(e) P(S ∪ N)

(f) P(D|Y)
(g) P(S|Y)
(h) Are employment status and poll result statistically independent?