A hat contains one thousand-dollar bill and four five-dollar bills. Five persons, one at a time, each draw a bill at random and keep it. Let X₁ be the value of the first person's bill, X₂ the value of the second person's bill, etc. Find: a. E(X₁). b. E(XS). c. Var(X₁). d. Var(X3). e. E(X₁ +...+X5). f. Var(X₁ +...+X5).

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