Let X be a continuous random variable with PDFfx(x)= 8/x3, x> 2. Find E[W where W = X/3.
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A: The probability density function of Y is given below: fYy|θ=2θ2θ-y, for y∈0,θ
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A: Continuous Random Variable: A continuous random variable is a variable whose value can be obtained…
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- Let X be a continuous random variable with PDF 3 x > 1 x4 fx(x) = otherwise Find the mean and variance of x.Let X be a random variable with pdf f(x) = kx*,-1Let X1, X2,... , Xn be independent Exp(A) random variables. Let Y = X(1)min{X1, X2, ... , Xn}. Show that Y follows Exp(nA) dis- tribution. Hint: Find the pdf of YLet X be a continuous random variable with pdfLet X be a random variable with pdf: f(x)= k(10 - 2x) for x being [0,5] a.) Find k b.) Find E(X) c.) Find Var(X) d.) Find E(3 *squareroot(X))Let X be a random variable with uniform distribution on the interval [-2,2]. Let Y be defined as Y = X5. Calculate the pdf of Y.Find the mean and standard deviation for each uniform continuous model U(1, 13) U(70, 200) U(3, 92)Let X be a continuous random variable with PDF (2e*,0 /3).2) Let X be a continuous random variable with PDF 0(47) Let X z b(8,-) find E(5+6x) and distribution function.Let X be a continuous random variable whose moment generating function is 4x(t) = (5) ³. Find Var (X)Let X and Y be two continuous random variables having joint pdffX,Y (x, y) = (1 + XY)/4, −1 ≤x ≤1, −1 ≤y ≤1.Show that X ^2 and Y ^2 are independent.SEE MORE QUESTIONSRecommended textbooks for youAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage