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Please include necessary work :) Q7. (18 points.) Thirty people are invited to a party. Each person accepts the invitation, independently of all others, with

Please include necessary work :)

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Q7. (18 points.) Thirty people are invited to a party. Each person accepts the invitation, independently of all others, with probability 1/3. Let X be the number of accepted invitations. (a) (6 points.) Compute E(X) . (b) (6 points.) Compute Var(X). (c) (6 points.) Compute E(X2 + 4X + 5)

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