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Unformatted text preview: Review for Final Math 3334, Fall, 2007 Warning: The final exam may have problems different from the problems on this review sheet. Also, problems on the final will not, in general, be multiple choice. 1. Suppose that in a community of 400 adults, 300 bike or swim or do both, 160 swim, and 120 swim and bike. What is the probability that an adult, selected at random from this community, bikes? (a) 0.47 (b) 0.65 (c) 0.35 (d) 0.87 2. Which of the following relations is always true? (a) P(B) P(A) B) P(A + (b) P(AB) = P(A)P(B) (c) 5 . ) P(A P(A) C + (d) P(B) P(A) B) P(A + 3. In tossing four fair dice, what is the probability of at least one 3? (a) 0.83 (b) 0.69 (c) 0.52 (d) 0.31 4. How many subsets does a set with 8 elements have? (a) 64 (b) 128 (c) 256 (d) 512 5. A fair coin is flipped 10 times. What is the probability of getting exactly three heads? (a) 0.03 (b) 0.06 (c) 0.12 (d) 0.18 6. From an ordinary deck of 52 cards, seven cards are drawn at random and without replacement. What is the probability that at least one of the cards is a king? (a) 0.4496 (b) 0.4932 (c) 0.5385 (d) 0.5671 7. What is the coefficient of x 2 y 3 in the expansion of (2x + 3y) 5 ?...
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