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The joint density function of the random variables X and Y is given to the right. (a) Show that X and Y are not independent. (b) Find P(X> 0.2 | Y=0.6). (a) Select the correct choice below and fill in the answer box to complete your choice. OA. f(x,y) h(y) O B. O D. Since f(xly)= Since f(xly) = Since f(xly) = Since f(xly)= f(x,y) h(y) f(x,y) h(y) f(x,y) = f(x,y) h(y) 12x², 0

The joint density function of the random variables X and Y is given to the right. (a) Show that X and Y are not independent. (b) Find P(X> 0.2 | Y=0.6). (a) Select the correct choice below and fill in the answer box to complete your choice. OA. f(x,y) h(y) O B. O D. Since f(xly)= Since f(xly) = Since f(xly) = Since f(xly)= f(x,y) h(y) f(x,y) h(y) f(x,y) = f(x,y) h(y) 12x², 0

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The joint density function of the random variables X and Y is given to the right. (a) Show that X and Y are not independent. (b) Find P(X>0.2 | Y=0.6). (a) Select the correct choice below and fill in the answer box to complete your choice. O A. O B. C. O D. Since f(xly) = Since f(xly) = Since f(xly) = Since f(xly) = f(x,y) h(y) f(x,y) h(y) f(x,y) h(y) f(x,y) h(y) , for 0<x<1-y, is constant, X and Y are not independent. 2 f(x, y) = , for 0 <y<1-x, involves the variable x, X and Y are not independent. 3x 12x², 0<x<1, 0<x<1-x 0₁ elsewhere (1-y) for 0<x< 1-y, involves the variable y, X and Y are not independent. 3 (b) P(X>0.2 | Y=0.6) = 0.875000 (Simplify your answer. Round to six decimal places as needed.) for 0<x<1-y, is a function of only the variable x, X and Y are not independent.
Transcribed Image Text:The joint density function of the random variables X and Y is given to the right. (a) Show that X and Y are not independent. (b) Find P(X>0.2 | Y=0.6). (a) Select the correct choice below and fill in the answer box to complete your choice. O A. O B. C. O D. Since f(xly) = Since f(xly) = Since f(xly) = Since f(xly) = f(x,y) h(y) f(x,y) h(y) f(x,y) h(y) f(x,y) h(y) , for 0<x<1-y, is constant, X and Y are not independent. 2 f(x, y) = , for 0 <y<1-x, involves the variable x, X and Y are not independent. 3x 12x², 0<x<1, 0<x<1-x 0₁ elsewhere (1-y) for 0<x< 1-y, involves the variable y, X and Y are not independent. 3 (b) P(X>0.2 | Y=0.6) = 0.875000 (Simplify your answer. Round to six decimal places as needed.) for 0<x<1-y, is a function of only the variable x, X and Y are not independent.
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