STA169 Statistics I

Statistics ITU Board 2082

Given the following bivariate probability distribution: Y \ X 1 0 1 0 1/15 2/15 1/15 1 3/15 2/15 1/15 2 2/15 1/15 2/15 Obtain i) marginal probability distribution of X ii) P(X≤0, Y=2) iii)…

5

Given the following bivariate probability distribution:

Y \ X
-1
0
1
0
1/15
2/15
1/15
1
3/15
2/15
1/15
2
2/15
1/15
2/15

Obtain

  • i) marginal probability distribution of X

  • ii) P(X≤0, Y=2)

  • iii) conditional probability distribution of X given Y=0.

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