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Unformatted text preview: Statistics 400 Exam 1 Practice Problems 1. If P ( A ) = 0 . 3, P ( B ) = 0 . 8, and P ( A ∩ B ) = 0 . 1, find (a) P ( A ∪ B ), (b) P ( A ∩ B ), (c) P ( A ∪ B ). (d) Are A and B independent? Why? 1 2. Among women who submit to a pregnancy test, Sixtyfive percent (65%) are actually pregnant. A certain pregnancy test gives a false positive result with probability 0.02 and a valid positive result with probability 0.99. In other words, if a woman is pregnant, she gives a positive test result with probability 0.99. If a woman is not pregnant, she gives a positive test result with probability 0.02. (a) Among women who submit to a pregnancy test, what fraction of the tests are positive? (b) If a particular woman’s test result is positive, what is the probability that she is actually pregnant? (c) If a particular woman’s test result is negative, what is the probability that she is actually pregnant?...
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This note was uploaded on 09/11/2011 for the course STAT 400 taught by Professor Tba during the Spring '05 term at University of Illinois at Urbana–Champaign.
 Spring '05
 TBA
 Statistics, Probability

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