Question: Find the expected value and variance for each random variable whose probability density function is given. When computing the variance, use formula (5). f (x)

Find the expected value and variance for each random variable whose probability density function is given. When computing the variance, use formula (5).Let X be a continuous random variable whose values lie between A

f (x) = 12x(1 - x)2, 0 ≤ x ≤ 1

Let X be a continuous random variable whose values lie between A and B, and let f(x) be the density function for X. Then, Var(X) = x f(x) dx = E(X). - (5)

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