Ch 6 Review Probabilitiy Unit - AP Statistics Chapter 6...

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AP Statistics, Chapter 6 Mixed Review Date ____________________ 1. In the following table, what are P(A and E) and P(C|E)? D E TOTAL A 15 12 27 B 15 23 38 C 32 28 60 TOTAL 62 6 3 125 (a) 12/25; 28/125 (b) 12/63; 28/60 (c) 12/125; 28/63 (d) 12/125; 28/60 (e) 12/63; 28/63 2. For the tree diagram pictured, what is P(B|X)? X .3 .4 Y A 0.8 .3 Z Pop. X 0.2 .5 B .4 Y .1 Z 3. The 2000 Census identified the ethnic breakdown of the state of California to be approximately as follows: White: 45%, Latino: 32%, Asian: 11%, Black: 7%, and Other: 4%. Assuming that these are mutually exclusive categories (not a realistic assumption, by the way), what is the probability that a randomly selected person from the state of California is of Asian or Latino descent? 4. Given that P(A) = 0.6, P(B) = 0.3, and P(B|A) = 0.5, find the following probabilities: (a) P(A and B) (b) P(A or B) (c) Are events A and B independent?
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5. An examination consists of multiple-choice questions, each having five possible answers. Linda estimates that she has probability 0.75 of knowing the answer to any question that may be asked. If she does not know the answer, she will guess, with conditional probability 1/5 of being correct. What is the probability that Linda gives the correct answer to a question? What is the probability that Linda has guessed given that she gives a correct answer? Make a tree diagram.
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