Let the pdf of X be defined by ,0x 1, 163-1673 f(x) = c/x 1...

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Let the pdf of X be defined by ,0≤x≤ 1, 163-1673 f(x) = c/x² 1<x<*, 0 , elsewhere. Find (1) The value of c so that f(x) is a probability density function. (10%) (2) The mean and variance of X (if it exists). (10%) (3) P(1/2≤x≤2) (10%) Let the pdf of X be defined by ,0≤x≤ 1, 163-1673 f(x) = c/x² 1<x<*, 0 , elsewhere. Find (1) The value of c so that f(x) is a probability density function. (10%) (2) The mean and variance of X (if it exists). (10%) (3) P(1/2≤x≤2) (10%)