Question: Let f(x) = gx 2 for 0 x 1 and the density is zero elsewhere. Find g so that f(x) is a probability density function

Let f(x) = gx 2 for 0 x 1 and the density is zero elsewhere. Find g so that f(x) is a probability density function for this random Variable X. Find P(X<0.3), the mean, E[X], and the variance, 2

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