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The PMF for A is defined by the following: 4/10, if a = 0 3/10, if a = 1 PA(a) = 2/10, if a =

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The PMF for A is defined by the following: 4/10, if a = 0 3/10, if a = 1 PA(a) = 2/10, if a = 2 1/10, if a = 3 0, otherwise. and the conditional PMF of B, given A, is defined by the following: PBIA (bla ) = { ( ) . 0.36 . 0.7 0- 6 otherwise. 0. Compute PBA(a, a) 1. Compute PB(1) = P(B = 1) 2. Compute f(a) = E[B|A = a] 3. Compute E[B] via the law of total expectation

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