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Question: q help in understanding this example in joint probability distribution...

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Q: Help in understanding this example in joint probability distribution table: having trouble understanding how to fill in the table and how to use a maybe equation to get the numbers. Please give steps of the solution to better understand, thanks.

**Please give the step by steps with details to completely see how the solution came about.

1) Roll two dice. Let X be the value on the first die and let Y be the sum on both dice. Answer the following question:

a) Fill in the joint probability distribution in the table:

X\Y___2___4___5___6___7___8___9___10___11___12

1   ___________________________________________

2    ___________________________________________

3    ___________________________________________

4    ___________________________________________

5    ___________________________________________

6    ___________________________________________

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