Question 1. Continuous Probability Distributions [. 1 Let X denote the length of a randomly selected phone call (in minutes). The probability density function of X is f(x), xe R. (d) Find the expected value (mean) of X. (e) Find the standard deviation of X. (f) Derive the cumulative distribution function of X, F(x). Probability density function f(x) and range Rx r) = x(x−3), R:0Sxs5 Variance (²) 289

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