4. Suppose that X is a random variable taking just two possible values {a, b}, where P(X = a) = 1-p and P(X= b) = p. (a) Compute E(X). (b) Compute Var(X).

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A: Here without replacement model so use hypergeometric distribution.

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Q: Determine the probability that neither card shows a 1 or a 3​, with replacement.

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Q: P(65<x<74) P(65<x<74)= (Round to four decimal places as needed.)

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Q: Flip a balanced die 5 times. Let X be the total number of 5 or 6. Then, X ~?, E(X) =?, V(X) =?.

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Q: We choose 2 balls at random from an urn containing 8 white, 4 black and 2 orange. Suppose we receive…

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