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S479 S12 Quiz 5 Solutions

# S479 S12 Quiz 5 Solutions - STAT 479 Spring 2012 Quiz 5...

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Unformatted text preview: STAT 479 Spring 2012 Quiz 5 March 1, 2012 Students taking Exam C can be categorized into two categories — Well Prepared and Unprepared. The probability of a Well Prepared student passing Exam C is 75%. The probability of an Unprepared student passing the Exam C is 10%. Well prepared students who pass the exam receive an exam passing bonus which is distributed as a gamma distribution with a = 3 and <9 =1000. Unprepared students who pass the exam receive an exam passing bonus that is uniformly distributed between 0 and 4000. For this sitting of Exam C, there are 1200 Well Prepared students and 800 Unprepared students. Calculate the variance of the exam passing bonus. DU Eu, 77% math . The number of losses under an insurance policy are distributed as a negative binomial with a mean of 8 and a variance of 40. The amount of a loss is distributed as a Burr distribution with parameters of a, 8 = 1000 , and 7/ = 2. A deductible of 500 is implemented. N is the random variable representing the number of claim payments with the deductible. The variance of N is 24. Determinea, Na QWQ Efmomfac j dﬁgg dC/QY/aQe am eager; aegis; V4311 (Np); akéVﬁXHﬁlﬂ) 5334 as gab/4X” W43 W ...
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S479 S12 Quiz 5 Solutions - STAT 479 Spring 2012 Quiz 5...

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