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5. Theoretical Discrete Distributions

5.1 Bernoulli Distribution:

A random variable X which takes two values 0 and 1, with probabilities q and p respectively, i.e., P(X=1)=p, P(X=0)=q, q=1-p is called a Bernoulli variate and is said to have a Bernoulli distribution.

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5.1.1 Moments of Bernoulli distribution.

The rth moment about origin is

μr’ = E(X r) = 0r . q+1r.p=p; r=1, 2,….

theoretical discrete distributions

The moment generating function of Bernoulli variate is given by:

bernoulli distribution

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