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Unformatted text preview: conclude that Alaska Airlines has the better on time performance. 1.22 (10 points) a. S = {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT} b. A = {HHHH, HHHT, HHTH, HTHH, THHH} B = {HHTT, HTHT, HTTH, HTTT, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT} C = {HHHH, HHHT, HTHH, HTHT, THHH, THHT, TTHH, TTHT} D = {HTTT, THTT, TTHT, TTTH} i. P(A) = 5/16 ii. P(A ⋂ B) = 0 iii. P(B) = 11/16 iv. P(A ⋂ C) = 4/16 = 1/4 v. P(D) = 4/16 = 1/4 vi. P(A ⋃ C) = P(A) + P(C) – P(A ⋂ C) = 5/16 + 8/16 – 4/16 = 9/16 vii. P(B ⋂ D) = P(D) = 1/4 (D is a subset of B) 1.26 (5 points) a. P(A ⋃ B) = P(A) + P(B) – P(A ⋂ B) = .4 + .5  .3 = .6 b. P(A ⋂ B’) = P(A) – P(A ⋂ B) = .4  .3 = .1 c. P(A’ ⋃ B’) = 1 – P(A ⋂ B) = 1  .3 = .7 (use De Morgan’s law)...
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 Fall '07
 SENTURK,DAMLA
 Alaska Airlines, America West, individual cities

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