O a. If F(X,Y)=F(X)F(Y), it is not necessarily true that p(XY)=p(X)p(Y) O b. If p(XY)=p(X)p(Y), then E[XY] = E[X]E[Y] O c. If E[XY] = E[X]E[Y], then X and Y are independent O d. If E[X+Y]=E[X]+E[Y], then F(X,Y)=F(X)F(Y) O e. If Cov(X,Y)=0, then p(XY)=p(X)p(Y)

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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Select the statement(s) that is(are) correct regarding random variables X and Y:

 
O a. If F(X,Y)=F(X)F(Y), it is not necessarily true that p(XY)=p(X)p(Y)
O b. If p(XY)=p(X)p(Y), then E[XY] = E[X]E[Y]
O c. If E[XY] = E[X]E[Y], then X and Y are independent
O d. If E[X+Y]=E[X]+E[Y], then F(X,Y)=F(X)F(Y)
O e. If Cov(X,Y)=0, then p(XY)=p(X)p(Y)
Transcribed Image Text:O a. If F(X,Y)=F(X)F(Y), it is not necessarily true that p(XY)=p(X)p(Y) O b. If p(XY)=p(X)p(Y), then E[XY] = E[X]E[Y] O c. If E[XY] = E[X]E[Y], then X and Y are independent O d. If E[X+Y]=E[X]+E[Y], then F(X,Y)=F(X)F(Y) O e. If Cov(X,Y)=0, then p(XY)=p(X)p(Y)
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