Question: Solve this expert's Problem 19.27. There are n students who are both taking Math for Computer Science (MCS) and Introduction to Signal Processing (SP) this

Solve this expert's

Problem 19.27. There are n students who are both taking Math for Computer Science (MCS) and Introduction to Signal Processing (SP) this term. To make it easier on themselves, the Professors in charge of these classes have decided to randomly permute their class lists and then assign students grades based on their rank in the permutation (just as many students have suspected). Assume the permutations are equally likely and independent of each other. What is the expected number of students that have in rank in SP that is higher by k than their rank in MCS? Hint: Let X, be the indicator variable for the rth ranked student in CS having a rank in SP of at least r + k

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