Let L be the loss random variable for a fully continuous whole life insurance of 1 purchased

Question:

Let L be the loss random variable for a fully continuous whole life insurance of 1 purchased by a life age 40. Find E[L] and Var(L) in each of the following cases:

(a) 6 = .06, fix = .03 for all x, and the annual premium is .04.

(b) / = .06, iP4o = (.96y for all /, and the annual premium is

.05.

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