Question: Show that E(X) = np when X is a binomial random variable. [First express E(X) as a sum with lower limit x = 1. Then

Show that E(X) = np when X is a binomial random variable. [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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