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9.) Suppose that X is a continuous random variable with density C(1- if r [0,1 0 ¡f x < 0 or x > 1. (a) Find C so that px is a probability density function (b) Find the cumulative distribution of X (c) Calculate the probability that X є (0.1,0.9). (d) Calculate the mean and the variance of X 10.) Suppose that X is a continuous random variable with cumulative distribution function Fx()- arctan()+ (a) Find the probability density function of X (b) Calculate the probability that X21

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1-4 1-1n2 PCx) l-In2 -In , 8259(-t久 (-in.ftー스t, ク(* ( t- -In a

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