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For Bernoulli Distribution, state formula for E(X) and V(X). - Mathematics and Statistics

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Question

For Bernoulli Distribution, state formula for E(X) and V(X).

Sum

Solution

Bernoulli distribution is a particular case of binomial distribution if n = 1.

In binomial distribution if X ~ B(n, p) then E(X) = np and V(X) = npq.

∴ For bernoulli distribution, we get

E(X) = p and V(X) = pq.

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