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The number of eggs,X, laid by the female tawny owl (Strix Aluco) has the probability distribution given in the following table X 2 3 4 P(X=x) 0.1 0.2 0.7 For any egg, the probability that it is hatched is 0.8, independent of all other eggs . Let Y denote the number of hatched eggs in a randomly chosen nest. (a). Obtain the probability distribution of Y (b). Find E(Y) and Var( Y).

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