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Calculation of Marginal distribution, Cumulative probability

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Calculation of Marginal distribution, Cumulative probability, Conditional Expectation,Joint Probability for a given density function.

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This solution provides calculations of Marginal Distribution, Cumulative Probability, Conditional Expectation and Joint Probability for a given density function.

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Ans.
a). Since the is PMF
Thus 25k =1
k=1/25

Thus the PMF can be written as
x|y 0 1 2
1 1/25 2/25 5/25
2 4/25 5/25 8/25

b).
The value are given below

For other value of x,y the F(x,y) is given ...

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