Question: Suppose that X is a binomial random variable with the probability density function: n! k! (n - k) ! pk ( 1 - p )

Suppose that X is a binomial random variable with the probability density function: n! k! (n - k) ! pk ( 1 - p ) n - k where n is the number of trials, k is the number of 'successes,' and p is the probability an event of interest occurs in any one trial. Show that E (X) = np

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