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S479 F10 Test 1

# S479 F10 Test 1 - Stat 479 Test 1 1 The number of student...

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Stat 479 Test 1 September 30, 2010 1. The number of student from Interest Theory that visit my office during office hours is distributed as a Poisson distribution with a mean of 2 per hour. The number of students from Loss Models that visit my office during office hours is distributed as a Poisson distribution with a mean of 1 per hour. The number of students from Life Contingencies that visit my office during office hours is distributed as a Poisson distribution with a mean of 0.5 per hour. Calculate the probability that more than 3 students (from any class) visit my office during office hours from 2:00 pm to 4:00 pm.

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2. Losses in 2009 are distributed as a Pareto distribution with α = 3 and θ = 10,000. Yan Health Insurance Company sell a policy that covers these losses with a franchise deductible of 2000 during 2009. Losses in 2010 increase by 10%. During 2010, Yan will sell a policy covering the losses. However, instead of the franchise deductible used in 2009, the company will implement an ordinary deductible of d.
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