For a husband and wife, the future lifetimes are independent continuous r.v.s X 1 and X 2

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For a husband and wife, the future lifetimes are independent continuous r.v.’s X1 and X2. Suppose the tail functions F̅1(x) = P(X1 > x) and F̅2(x) = P(X2 > x) are given. Find the probabilities that

(a) Both will survive n years;

(b) Exactly one will survive n years;

(c) No one will survive n years;

(d) At least one will survive n years;

(e) Both will die in the nth year.

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