Problem 1: Let X have a probability density function defined by a. Find the constant c....

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Problem 1: Let X have a probability density function defined by a. Find the constant c. f(x) = cx, 0x2 b. Find P(0.75 x1.5), P(X 1), and P(X>0.5). c. Derive the cumulative distribution function of X. Problem 1: Let X have a probability density function defined by a. Find the constant c. f(x) = cx, 0x2 b. Find P(0.75 x1.5), P(X 1), and P(X>0.5). c. Derive the cumulative distribution function of X.