Use inverse transform method to generate a random variable with density function F(x) ={x2/4− (x + 1) 2 ≤ x ≤ 3 {(x − 2) −x2/12 3 ≤ x ≤ 6 {0 otherwise
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Use inverse transform method to generate a random variable with density function
F(x) ={x2/4− (x + 1) 2 ≤ x ≤ 3
{(x − 2) −x2/12 3 ≤ x ≤ 6
{0 otherwise
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- Compute the average value of the function f(x)=(9x²+5x+7)e* on the interval [-5,9]A continuous random variable X is defined by f ( x ) = (3+x)^2/16 ; -3<x<-1 f(x) = = ( 6 - 2x^2)/16 ; -1<x<1 f(x) = ( 3 - x^2)/16 ; -1<x<3 a. Verify that f(x) is density b. find the meanLet X be a random variable with pdf f(x) = kx*,-1Determine E(X), E(X2) and V(X) if X be a continuous random variable with probability density function fx(x) = 3x^2 0 ≤ x ≤ 1 0 otherwiseSuppose that therandom variable X has the probability density function c(1– x2) for -1s x <1 f(x) elsewhere What is the variance of XIf F(x) is cumulative distrbution function of a continuous random variable X, the probability (function f(x) is the integral of F(x (True (Fa)seRecommended textbooks for youAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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