Question: 1. We are given the random variables X2, X3, , Xn, and Y2, Y3, , Ym. Answer the following questions. a. Assuming every variable is

1. We are given the random variables X2, X3, , Xn, and Y2, Y3, , Ym. Answer the following questions.

a. Assuming every variable is binary, how many independent parameters are needed to represent P(X2, X3, , Xn, Y2, Y3, , Ym)?

b. Assuming every variable has three possible values, how many independent parameters are needed to represent P(X2, X3, , Xn, Y2, Y3, , Ym)?

c. Assuming each Xi has i possible values and similarly, every Yi has i possible values, how many independent parameters are needed to represent P(X2, X3, , Xn, Y2, Y3, , Ym)?

d. Assuming every variable is binary, how many independent parameters are needed to represent P(Y2, Y3, , Ym | X2, X3, , Xn)?

e. Assuming every variable has three possible values, how many independent parameters are needed to represent P(Y2, Y3, , Ym | X2, X3, , Xn)?

f. Assuming each Xi has i possible values and similarly every Yi has i possible values, how many independent parameters are needed to represent P(Y2, Y3, , Ym | X2, X3, , Xn)?

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