Suppose that the length W of a man’s life does follow the

Chapter 3, Problem 2E

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QUESTION:

Problem 2E

Suppose that the length W of a man’s life does follow the Gompertz distribution with λ(w) = a (1.1)w = ae (ln 1.1)w . P(63 < W < 64) = 0.01. Determine the constant a and P(W ≤ 71 | 70 < W).

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QUESTION:

Problem 2E

Suppose that the length W of a man’s life does follow the Gompertz distribution with λ(w) = a (1.1)w = ae (ln 1.1)w . P(63 < W < 64) = 0.01. Determine the constant a and P(W ≤ 71 | 70 < W).

ANSWER:

Answer:

Step 1 of 1 :

Given the length of a man’s life is W.

is a gompertz distribution function.

Then the geometric distribution function is

G(w) =

Our goal is to find

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