6.44. The joint probability mass function of X and Y isgiven byp(1, 1) = .9,p(2, 1) = .03,p(1,2)= .04p(2,2)= .03(a) Compute the conditional mass function of X givenY = i, i = 1,2.(b) Are X and Y independent?(c) Compute P{X - Y = 0}, P{X + Y ≤3}, and P{\ ≤ 1}.

p(1,1)=0.9p(1,2)=0.04p(2,1)=0.03p(2,2)=0.03

Answered: 5.44. The joint probability mass…

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5.44. The joint probability mass function of X and Y is given by p(1, 1) = .9, p(2, 1) = .03, p(1,2)= .04 p(2,2)= .03 (a) Compute the conditional mass function of X given Yi.i= 1.2. [(b) Are X and Y independent? (c) Compute P{X - Y = 0}, P{X + Y ≤ 3}, and P{ \ ≤ 1}.