exam1_practice_solution

# exam1_practice_solution - Practice Problems for Exam...

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Practice Problems for Exam I (Chapters 1–4) 1. A particular airline has 10 a.m. ﬂights from Chicago to NY, Atlanta, and LA. Let A denote the event that the NY ﬂight is full and deﬁne events B and C analogously for Atlanta and LA, respectively. Suppose P ( A ) = 0 . 6 ,P ( B ) = 0 . 5 ,P ( C ) = 0 . 4 , and the three events are independent. What is the probability that only the NY ﬂight is full? A. 0.12 B. 0.88 C. 0.18 D. 0.10 E. 0.60 Answer: C. The event “only NY ﬂight is full” = A B 0 C 0 . Then P ( A B 0 C 0 ) = P ( A ) P ( B 0 ) P ( C 0 ) = (0 . 6)(1 - 0 . 5)(1 - 0 . 4) = 0 . 18 . 2. 1% of all individuals in a certain population are carriers of a particular disease. A di- agnostic test for this disease has a 90% detection rate for carriers and a 5% rate for non-carriers. Suppose the test is applied independently to two diﬀerent blood samples from the same randomly selected individual. What is the probability that both tests yield positive result? A. 0.01

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exam1_practice_solution - Practice Problems for Exam...

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