Show that E(X) = np when X is a binomial random variable. [Hint: First express E(X) as

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Show that E(X) = np when X is a binomial random variable. [Hint: First express E(X) as a sum with lower limit x=1. Then factor out np. let y=x-1 so that the sum is from y = 0 to y=n-1, and show that the sum equals 1.]

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