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For any two random variables X and Y, choose all the correct answers: O a. If X and Y are uncorrelated then X and Y are independent. b.if x and Y are independent then X and Y are uncorrelated. C. If X and Y are independent then P(X=x,Y=y) = P(X=x)P(Y=y) for every x and y. d. if x and Y are independent then P(X=x|Y=y) = P(X=x) for every x and y. U e. If X and Y are independent then for every x and y, P(X = x) = [ odds(X = x | Y = y)]/[1+ odds(X = x | Y = y) ]

For any two random variables X and Y, choose all the correct answers: O a. If X and Y are uncorrelated then X and Y are independent. b.if x and Y are independent then X and Y are uncorrelated. C. If X and Y are independent then P(X=x,Y=y) = P(X=x)P(Y=y) for every x and y. d. if x and Y are independent then P(X=x|Y=y) = P(X=x) for every x and y. U e. If X and Y are independent then for every x and y, P(X = x) = [ odds(X = x | Y = y)]/[1+ odds(X = x | Y = y) ]

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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just this multichoice question please

For any two random variables X and Y, choose all the correct answers: O a. If X and Y are uncorrelated then X and Y are independent. b.if X and Y are independent then X and Y are uncorrelated. C. If X and Y are independent then P(X=x,Y=y) = P(X=x)P(Y=y) for every x and y. d. If X and Y are independent then P(X=x|Y=y) = P(x=x) for every x and y. e: If X and Y are independent then for every x and y, P(X = x) = [ odds(X = x | Y = y)]/[1+odds(X = x | Y = y)]
Transcribed Image Text:For any two random variables X and Y, choose all the correct answers: O a. If X and Y are uncorrelated then X and Y are independent. b.if X and Y are independent then X and Y are uncorrelated. C. If X and Y are independent then P(X=x,Y=y) = P(X=x)P(Y=y) for every x and y. d. If X and Y are independent then P(X=x|Y=y) = P(x=x) for every x and y. e: If X and Y are independent then for every x and y, P(X = x) = [ odds(X = x | Y = y)]/[1+odds(X = x | Y = y)]
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