Suppose X and Y are continuous random variables with joint probability density function (pdf) fxx (x, y) = = [32(xy)¹/³, if 0≤x≤ y ≤1 10, otherwise What are the marginal pdfs of X and Y? من
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- 3. Let X and Y be continuous random variables with joint PDF (3x 0s ysxs1 f(x, y) = {* otherwise Determine the correlation of variables X and Y.Let X be a continuous random variable with PDF 3 x > 1 x4 fx(x) = otherwise Find the mean and variance of x.4. The monthly revenue (in millions) of a local gaming company is represented by a continuous random variable X having the probability density f(x) = (1 - (x-1)²), 0 < x < 2, 0, elsewhere Find the mean and variance of X.
- d) Let Y be a continuous random variable with a probability mass function: - 1 fV) = (,) p"(1– p)"-* - 1 Derive the moment generating function (MGF) of a random variable Y.Suppose that the random variable X has the probability density function for -1s x <1 c(1- x2) f(x) elsewhere What is the variance of X A 1/3 B 1/5 (c) 1/2 D 1/4The joint Pdf of the random variables X and Y is 1 fxy (*, y) e-lxi – lyi for- oX is a continuous random variable and the pdf of X is k x> 1 f(x) xS 1 Determine the value of k for which f(x) is a legitimate pdf.Suppose that therandom variable X has the probability density function c(1– x2) for -1s x <1 f(x) elsewhere What is the variance of Xx and y are random variables with joint PDF 2. fxiy (x.y)= other a) marginal PDF fx(x)? b) marginal POE fy(Y)?2. Let X be a continuous random variable with probability density function (pdf) 3x�� 0Let X and Y be two continuous random variables with joint probability density [3x function given by: f(x,y)= 0Let X and Y continuous random variable with joint pdf fx,y) = 24xy, for 0SEE MORE QUESTIONSRecommended textbooks for youCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,