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- Problem 1. A continuous random variable X is defined by f(x)=(3+x)^2/16 -3 ≤ x ≤ -1 =(6-2x^2)/16 -1 ≤ x ≤ 1 =(3-x^2)/16 -1 ≤ x ≤ 3 a)Verify that f(x) is density. b)Find the MeanIf the moment generating function of a random variable X is: (1/3+(2/3)e t ) 5 find P (X > 3).J 1 Problem 126. Let X and Y be discrete random variables with joint probability mass function pX,Y (x, y) = C/[(x + y − 1)(x + y)(x + y + 1)], x, y = 1, 2, 3, . . . Determine the marginal mass functions of X and Y
- 4.3-19. The joint density of two random variables X and Y is for at fx.y(x, y) = 0.18(x)8(y)+0.128(x - 4)8(y) w 2.-10. Work Problem +0.058(x)&(-1)+0.258(x-2)(y-1) al point +0.38(x-2)(y-3) +0.188(x-4)8(y - 3) given that Variables 4.3-19. The joint density of two random variables X and Y is for fx.y(x, y)=0.18(x)$(y)+0.128(x-4)8(y) +0.058(x)(y-1)+0.258(x-2)(y-1) +0.38(x - 2)8(y - 3)+0.188(x-4)8(y - 3) Find and plot the marginal distributions of X and Y DESThe premise pdf of the random variable X is X ∼ U (0, 2). The pdf of the random variable Y under the condition X Geometric (x).That is,since fY | X (y x) ∼ Geometric (x) and Y = 3 observations. fX | Y (x | 3) =?Problem 1Let X be a discrete random variable with the following PMF.
- Problem 7: Let X be a continuous random variable with the probability density for f(x) = 3x2 values of x in [0,1], and f(x) = 0 elsewhere. Compute the expected value and variance of X.13) Random variables X and Y have joint pdf fXY={4xy, 0≤x≤1, 0≤y≤1fXY={4xy, 0≤x≤1, 0≤y≤1 Find Correlation and CovarianceConsider a function F (x ) = 0, if x < 0 F (x ) = 1 − e^(−x) , if x ≥ 0 Is the corresponding random variable continuous?
- For a discrete random variable X if : Points ) P ( X = x ) = 0.1x , x = 2 , 3 , 5 , then E ( X2 ) =The premise pdf of the random variable X is X ∼ U (0, 2). The pdf of the Y random variable under the condition X Geometric (x). That is, since fY | X (y | x) ∼ Geometric (x) and Y = 3 observations fX | Y (x | 3) =?by the way f(y|x)=x(1-x)^y-1 right? if not tell me whY?9.19 Let X and Y be two continuous random variables, with joint proba- bility density function f(x, y): - 30 -50x²-50y² +80xy for -