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Problem 2.1 (10 points) Assume the number B of blossoms on an apple tree is Poisson dis- tributed with parameter > > 0 and suppose that, independently from all the others, each blossom will yield a fruit with probability pe (0, 1). (a) Compute the probability mass function pa of the number of apples A on the tree. Hint: You can use the fact that k! (AER). k=0 (b) Compute the conditional probability mass function of B given the number of apples A