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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OpenStudy (anonymous):
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OpenStudy (unklerhaukus):
X 2 3 4
P(X=x) 0.1 0.2 0.7
so when you look at the tabe you can see that the owl can lay 2,3 or 4 eggs only
OpenStudy (unklerhaukus):
and most of the time the owl will lay 4 eggs
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OpenStudy (unklerhaukus):
the number of hatched eggs in a randomly chosen nest
depends on the number of egg in the nest ,
and
the probability that any single egg is hatched is 0.8