it is known that the probability density function with random variables X and Y is as follows. 6(x+y') ; for 0

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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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it is known that the probability density function with random variables X and Y is as follows.
6(x+y')
for 0<x<1;0<y<l;
Sr (x, y) ={
for another (x,y)
a) Prove that Sy(x,y) is a probability density function,
b) determine the marginal probability function of X
c) determine the conditional probability function Yif it is known X, fry (V|x)
d) calculate probability, P(Y s 0,5 ]X=0,8).
Transcribed Image Text:it is known that the probability density function with random variables X and Y is as follows. 6(x+y') for 0<x<1;0<y<l; Sr (x, y) ={ for another (x,y) a) Prove that Sy(x,y) is a probability density function, b) determine the marginal probability function of X c) determine the conditional probability function Yif it is known X, fry (V|x) d) calculate probability, P(Y s 0,5 ]X=0,8).
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