Question

Consider the following: P(x year old survives 1 more year) = 0.99 P(x year old survives...

Consider the following:

P(x year old survives 1 more year) = 0.99

P(x year old survives 10 more years) = 0.65

P(x-1 year old survives 2 more years) = 0.98505

P(x-1 year old survives to age (x+6)) = 0.8067

P(x+1 year old has a future lifetime between 7 and 9 years) = 0.124

Calculate the probability that an x+1 year old has a future lifetime between 5 and 7 years.

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Answer #1

Given,

P(x year old survives 1 more year) = 0.99

P(x year old survives 10 more years) = 0.65

P(x-1 year old survives 2 more years) = 0.98505

P(x-1 year old survives to age (x+6)) = 0.8067

P(x+1 year old has a future lifetime between 7 and 9 years) = 0.124

the probability that an x+1 year old has a future lifetime between 5 and 7 years is

= P(x year old survives 10 more years) - P(x+1 year old has a future lifetime between 7 and 9 years)

= 0.65 - 0.124

= 0.526

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