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) ]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59a2ede3-6d85-4bad-a299-e45a2d367652%2Fa36363f0-e8ec-42d9-be94-f240d394d07e%2F2zrisa_processed.png&w=3840&q=75)
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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