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A book has n typos. Alice and Bob read the book independently to nd the typos. Assume that Alice catches each typo independently with probability

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A book has n typos. Alice and Bob read the book independently to nd the typos. Assume that Alice catches each typo independently with probability p; and Bob catches each typo independently with probability p2. (a) What is the sample space of this random experiment? (b) Let Y be the total number of typos caught. What is the pmf of Y? (c) What is the mean and variance of Y

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