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Probability Questions Set 2

# Probability Questions Set 2 - Probability Questions Set 2 1...

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Probability Questions Set 2 1. For each of three independent lives, mortality follows a uniform distribution of death between integral ages. If 1/2 1/4: 1/4: 1/4 8 729 x x x q , then calculate 1/4 1/2: 1/2: 1/2 x x x p . 2. You are given: i. Deaths are uniformly distributed between integral ages. ii. 0.1 x q iii. 1 0.2 x q Calculate 3/4 x q . 3. You are given: i. Deaths follow a constant force of mortality between integral ages. ii. 0.1 x q iii. 1 0.2 x q Calculate 0.6|0.5 0.2 x q . 4. You are given that 100,000 x l and 0.5 x q . If you assume that deaths follow a constant force of mortality between integral ages, then 0.3 0.3 2409.39 x d . Calculate 0.5 0.25 x q assuming uniform distribution of deaths between integral ages. 5. You are given: i. (x) and (y) are independent ii. 0.10 x q iii. 0.20 y q iv. Deaths are uniformly distributed between integral ages. Calculate 0.6 xy q

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You are given the following select and ultimate mortality table of x q ’s to be used for Numbers 6-8.
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