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The probability model for random variable A is
The conditional probability model for random variable B given A is:
(a) What is the probability model for random variables A and B? Write the joint PMF PA,B(a, b) as a table.
(b) If A = 1, what is the conditional expected value E[B|A = 1]?
(c) If B = 1, what is the conditional PMF PA|B (a|1)?
(d) If B = 1, what is the conditional variance Var[A|B = 1] of A?
(e) What is the covariance Cov[A, B] of A and B?
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