Question
Write probability density function of binomial distribution.

Answer

$P(X=x)=p(x)={ }_n C_x p^x q^{n-x},$
where, $0 \leq x \leq n \text {, and } 0<p<1$
$X =$ Number of successful trials
$n =$ Number of successful Bernoulli trials
$p =$ Probability of success; $q = 1 - p$

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