Let U = {q, r, s, t, u, v, w, x, y, z}; A = {q, s, u, w, y}; B = {q, s, y, z); a

Question

Let U = {q, r, s, t, u, v, w, x, y, z}; A = {q, s, u, w, y}; B = {q, s, y, z); and C = {v, w, x, y, z}. List the members of the indicated set, using set braces. 5) (A B)' A) {r, s, t, u, v, w, x, z) B) {s, u, w) C) {r, t, v, x} D) {t, v, x} 6) A B' A) {q, s, t, u, v, w, x, y} B) {t, V, x} C) {r, s, t, u, v, w, x, z} D) {u, w) 7) A (B C) A) {q, r, w, y, z} B) {q, s, u, w, y, z} C) {q, y, z} D) {q, w, y} Solve the problem. 8) A contractor is considering a sale that promises a profit of $29,000 with a probability of.7 or a loss (due to bad weather, strikes, and such) of $6000 with a probability of.3. What is the expected profit? A) $18,500 B) $20,300 C) $24,500 D) $23,000 9) If two cards are drawn without replacement from an ordinary deck, find the probability that the second card is red, given that the first card was a heart. A) 25/51 B) 22/23 C) 4/7 D) 26/51

Explanation / Answer

8) the expectation = E(X) = X1*P(X) +X2*P(X2)+....+XN*P(XN)

HERE THE EXPECTATION = 29000*0.7 - 6000*0.3

= 18500

THEREFORE OPTION A IS CORRECT

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