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The random variable X can take only the values 0, 1, 2. Given that P(X = 0) = P (X = 1) = p and

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The random variable X can take only the values 0, 1, 2. Given that P(X = 0) = P (X = 1) = p and that E(X2) = E[X], find the value of p.

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So, we have , the following distribution.

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