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A02.2 More moments A random variable, X, has a density of 6x(1-x) for 0 -2. (c) Use the linearity of expectation to find E[X +

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A02.2 More moments A random variable, X, has a density of 6x(1-x) for 0 -2. (c) Use the linearity of expectation to find E[X + X2 + X3 + X4 +...] (it is valid to switch the order of expectation and sum even though the series is infinite - if inter- ested, look up Fubini's Theorem). [7]

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