Question: Let X be a continuous random variable with the following probability density function: 013231 + e), if U S 1* E 1 0, otherwise fxfl'l

Let X be a continuous random variable with the following probability density function: 013231 + e\"), if U S 1* E 1 0, otherwise fxfl'l = { (1) 1. Find the value of or that makes fX[.r) a valid probability density function. 2. Compute the following probability: P (X > .75) 3. Compute the mean, median, and mode of X. 4. Compute the standard deviation of X

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