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.