Suppose that a continuous random variable X has the following probability density function (pdf): ( 32, < 3(x - 2)2, 0

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Suppose That A Continuous Random Variable X Has The Following Probability Density Function Pdf 32 3 X 2 2 0 X 1 (34.33 KiB) Viewed 19 times

Suppose that a continuous random variable X has the following probability density function (pdf): ( 32, < 3(x - 2)2, 0<x<2 f(x) = 8 otherwise (a) Find P(X > 1). If necessary, round your answer th four decimal places. (b) Find P(-0.5 < X < 0). If necessary, round your answer to four decimal places. (c) Find the mean of X. If necessary, round your answer to four decimal places. (d) Find the 60-th percentile of X. If necessary, round your answer to four decimal places. Suppose that a continuous random variable Y has the following probability density function (pdf): PCY) За 0, 0 <yca otherwise where a > 0 (d) Find the value of a that makes f(y) a legitimate probability density function (pdf) of Y.