Question: Q1) Given the joint probability distribution of two random variables X and Y y x f(y) 1 2 3 .25 .25 4 .25 .25 f(x)

Q1) Given the joint probability distribution of two random variables X and Y

y

x

f(y)

1

2

3

.25

.25

4

.25

.25

f(x)

  1. Fill in the blanks in the table above
  2. Find E(X), V(X), Cov(X,Y),E(X|Y=4)
  3. Are X and Y independent? Explain
  4. Find V(X|Y=4)

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