2. The joint pmf of ? and ? is given by ??,? (?, ?) = (x+y)/27  ???...

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2. The joint pmf of ? and ? is given by

??,? (?, ?) = (x+y)/27  ??? ? = 0, 1,2; ? = 1, 2,3,

and ??,? (?, ?) = 0 otherwise.

a. Find ?(?|? = ?) for all ? = 0,1, 2.

b. Find ?(3 + 0.2?|? = 2).

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