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Let S,F be the discrete random variables associated to Bishop's stickered fruit problem from class on 2/13 (Week 5 Lecture Notes), reproduced here for reference. There are - two sticker colors: (R)ed and (B)lue - two types of fruit: (O)ranges and (A)pples. The number of stickered fruit of each type is summarized in the table below, which can be used to calculate the joint, marginal, and conditional distributions associated to the random variables S and F. (a) Compute the marginal distribution associated to F and the conditional distribution of F conditioned on S. (b) Compute the information gain of F from S..

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Let S,F be the discrete random variables associated to Bishop's stickered fruit problem from class on 2/13 (Week 5 Lecture Notes), reproduced here for reference. There are - two sticker colors: (R)ed and (B)lue - two types of fruit: (O)ranges and (A)pples. The number of stickered fruit of each type is summarized in the table below, which can be used to calculate the joint, marginal, and conditional distributions associated to the random variables S and F. (a) Compute the marginal distribution associated to F and the conditional distribution of F conditioned on S. (b) Compute the information gain of F from S.

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