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Unformatted text preview: X represent the number of containers in a random sample of 10,000 that have this defect. Find P ( X = 3). (6 points) Answer: X ∼ Poisson ( λ = 10000 * . 0003) P ( X = 3) = e(10000 * . 0003)(10000 * . 0003) 3 3! = 0 . 2240418 3. In testing a certain kind of truck tire over a rugged terrain, it is found that 25% of the trucks fail to complete the test run without a blowout. Of the next 15 trucks tested, ﬁnd the probability that from 3 to 5 have blowouts; (7 points) Answer: X ∼ Bin ( n = 15 ,p = 0 . 25) P (3 ≤ X ≤ 5) = P ( X = 3) + P ( X = 4) + P ( X = 5) = ± 15 3 ² (0 . 25) 3 (1. 25) 12 + ± 15 4 ² (0 . 25) 4 (1. 25) 11 + ± 15 5 ² (0 . 25) 5 (1. 25) 10 = 0 . 2251991 + 0 . 2251991 + 0 . 1651460 = 0 . 6155441 . 2...
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This note was uploaded on 12/13/2011 for the course STA 3032 taught by Professor Kyung during the Fall '08 term at University of Florida.
 Fall '08
 Kyung
 Statistics

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