Question

Consider a joint probability function for discrete random variables X and Y. To get the marginal...

Consider a joint probability function for discrete random variables X and Y. To get the marginal probability function for X:

Select one:

a. We set x equal to 1.

b. For each value y, we sum the joint probability function over all the values of x.

c. We set y equal to 1.

d. For each value x, we sum the joint probability function over all the values of y.

Math   Statistics-And-Probability   
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Answer #1

d. For each value of x, we sum the joint probability function over all the values of y.

Marginal probability as the name suggest , it is the marginalised value for a corresponding variable. In marginal PMF we make the variable of interest constant and sum all the values corresponding to remaining variable. As it is clear from the below mentioned example.

I have given the detailed solution of the above question. Please upvote if you find it helpful. Feel free to ask doubt in case you need it in the comment section. Thanks.

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