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S490C F08 Final

# S490C F08 Final - Final Stat 490C 1(5 points A sample from...

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Final Stat 490C December 20, 2008 1. (5 points) A sample from a binomial distribution has a mean of 1.65 and a variance of 0.66. Determine m ˆ and q ˆ using the Method of Moment Matching.

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2. (7 points) You are given the following random sample from an Exponential distribution: 3 6 8 10 20 Using percentile matching at the 20 th percentile, estimate θ.
3. (7 points) Lee Life Insurance Company is completing a mortality study on a 4 year term insurance policy. The following data is available: Life Date of Entry Date of Exit Reason for Exit 1 0 0.2 Lapse 2 0 0.3 Lapse 3 0 0.5 Lapse 4 0 0.5 Death 5 0 0.7 Lapse 6 0 1.0 Death 7 0 2.0 Lapse 8 0 2.5 Death 9 0 3.0 Lapse 10 0 3.5 Death 11 0 4.0 Expiry of Policy 12 0 4.0 Expiry of Policy 13 0 4.0 Expiry of Policy 14 0 4.0 Expiry of Policy 15 0 4.0 Expiry of Policy 16 0 4.0 Expiry of Policy 17 0 4.0 Expiry of Policy 18 0 4.0 Expiry of Policy 19 0.5 4.0 Expiry of Policy 20 0.7 1.0 Death 21 1.0 3.0 Death 22 1.0 4.0 Expiry of Policy 23 2.0 2.5 Death 24 2.0 2.5 Lapse 25 3.0 3.5 Death The Company’s chief actuary, Sophie, decides to calculate S 25 (2.5) using the Kaplan-Meier product-limit estimator where death is the decrement of interest. What did she get for S 25 (2.5).

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4. (7 points) Lee Life Insurance Company is completing a mortality study on a 4 year term insurance policy. The following data is available: Life Date of Entry Date of Exit Reason for Exit 1 0 0.2 Lapse 2 0 0.3 Lapse 3 0 0.5 Lapse 4 0 0.5 Death 5 0 0.7 Lapse 6 0 1.0 Death 7 0 2.0 Lapse 8 0 2.5 Death 9 0 3.0 Lapse 10 0 3.5 Death 11 0 4.0 Expiry of Policy 12 0 4.0 Expiry of Policy 13 0 4.0
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S490C F08 Final - Final Stat 490C 1(5 points A sample from...

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