A) Let F(a,b) be the joint distribution function of random variables X and Y. Then the marginal distribution function of X is given for each a by F,(a)=lim F(a,b) i) True ii) False B) The random variables X and Y, with joint distribution function F(a,b), are independent if: F(a,b)=Fx(a)Fy(b) ii) F(a,b)=Fx(a)+Fy(b) iii) F(a,b)=Fx(a)–Fy(b) i) iv) They are always independent

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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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Multiple Choice Questions: Please select the best answer from the given list for the
following statements/questions.

please explain.

 

A) Let F(a,b) be the joint distribution function of random variables X and Y. Then the
marginal distribution function of X is given for each a by
F,(a)=lim F(a,b)
i) True
ii) False
B) The random variables X and Y, with joint distribution function F(a,b), are independent if:
F(a,b)=Fx(a)F,(b)
ii) F(a,b)=Fx(a)+Fy(b)
iii) F(a,b)=Fx(a)-Fy(b)
i)
iv) They are always independent
Transcribed Image Text:A) Let F(a,b) be the joint distribution function of random variables X and Y. Then the marginal distribution function of X is given for each a by F,(a)=lim F(a,b) i) True ii) False B) The random variables X and Y, with joint distribution function F(a,b), are independent if: F(a,b)=Fx(a)F,(b) ii) F(a,b)=Fx(a)+Fy(b) iii) F(a,b)=Fx(a)-Fy(b) i) iv) They are always independent
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