Question: Two graders are grading the same homework assignment containing a total of n errors.They each obtain separate copies of the assignment. Each grader spots an

Two graders are grading the same homework assignment containing a total of n errors.They each obtain separate copies of the assignment. Each grader spots an errorindependently with probability p. Let Xi be the number of errors spotted by Graderi, and let Y be the number of errors spotted by at least one grader.


(a) What is the distribution of Y ?


b) What is the distribution of T = X1 + X2?


(c) Use conditional probability to find the distribution of X1 given T = m.

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