In this exercise, you are to consider two variables, x and y, defined on a hypothetical population. Following are the conditional distributions of the variable y corresponding to each value of the variable x.

a. Are the variables x and y associated? Explain your answer.
b. Determine the marginal distribution of y.
c. Can you determine the marginal distribution of x? Explain your answer.

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C Total 0 0.316 0.316 0.316 0.422 0.422 0.422 2 0.2 0.0.211 3 0.047 0.047 0.047 4 0.004 0.004 0.004 Total 000 1000 1.000