Question
random variables X and Y have the joint distribution: FXY (x,y)={0, x <0 or y <0; 5/4((x+e^(-(x+1)y^2))/(x+1))- e^-y^2),0
random variables X and Y have the joint distribution: FXY (x,y)={0, x<0 or y<0; 5/4((x+e^(-(x+1)y^2))/(x+1))- e^-y^2),0<=x<4; 1+1/4e^(-5y^2)-5/4e^(-y^2),4<=x and any y>=0. Find the marginal probability density functions fx(x) and fY(y). Also, Evaluate the marginal probabilities P(3< X<=5) and P(1< Y <=2).
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Contemporary Business Mathematics With Canadian Applications
Authors: Ali R. Hassanlou, S. A. Hummelbrunner, Kelly Halliday
12th Edition
0135285011, 978-0135285015
