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Probability-Statistics Questions
Probability-Statistics Questions
The Bernoulli random variable takes values 0 and 1, and has probability function f(x) = (p^x) [(1 − p)^(1−x)]
Let X be binomial with parameters n and p. Evaluate E{X(X − 1)} from first principles (i.e. the definition of expectation), and hence, derive var(X). You may assume linearity of expectation, and that E(X) = np.
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