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(Solved): 8. The joint probability mass function of \( X \) and \( Y \) is given below. a) Find \( P(X=x \mi ...
8. The joint probability mass function of \( X \) and \( Y \) is given below. a) Find \( P(X=x \mid Y=0) \). b) Are \( X \) and \( Y \) independent? Explain. c) Find the covariance between \( \mathrm{X} \) and \( \mathrm{Y} \). d) Find the correlation between \( X \) and \( Y \).
Expert Answer
The joint probability mass function of X and Y is given below Y|X 0 1 2 0 0.4 0.2 0.1 1 0.2 0.10 0 a) P(X=x | Y=0) P(X=x?Y=0)=P(X=0,1,2?Y=0)P(X=x?Y=0)