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Asst-2 - ACSC/MATH 347/447 Assignment 2 Due 11:00 a.m on...

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ACSC/MATH 347/447 Assignment 2 Due: 11:00 a.m. on March 25, 2010 Page 1 of 2 Show all your work in each problem. No credit will be given if the answer is given without showing or explaining how it was determined. Completely evaluate all your answers. Please refer to the section on Academic Integrity in the syllabus. 1. For each of the following, determine whether the given function can serve as the probability function of a random variable. You must give a valid reason for your answer . a. ݌ሺݕሻ ൌ ሺݕ െ 2ሻ 5 , for ݕ ൌ 1, 2, 3, 4, 5; ݌ሺyሻ ൌ 0 elsewhere. b. ݌ሺݕሻ ൌ ݕ 30 , for ݕ ൌ 0, 1, 2, 3, 4; ݌ሺyሻ ൌ 0 elsewhere. c. ݌ሺݕሻ ൌ 1 5 , for ݕ ൌ 0, 1, 2, 3, 4, 5; ݌ሺyሻ ൌ 0 elsewhere. 2. An insurance company sells an automobile policy with a deductible of one unit. Let Y denote the amount of the loss experienced by a randomly selected driver, and suppose that the probability function of Y is given by ݌ሺݕሻ ൌ ە ۔ ۓ 0.9, ݕ ൌ 0 ݕ ܿ , ݕ ൌ 1, 2, 3, 4, 5, 6 0, elsewhere,
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