A particular professor is known for his arbitrary grading

Chapter , Problem 40

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QUESTION:

A particular professor is known for his arbitrary grading policies. Each paper receives a grade from the set {A, A-, B+. B, B-, C+}, with equal probability, independent of other papers. How many papers do you expect to hand in before you receive each possible grade at least once?

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QUESTION:

A particular professor is known for his arbitrary grading policies. Each paper receives a grade from the set {A, A-, B+. B, B-, C+}, with equal probability, independent of other papers. How many papers do you expect to hand in before you receive each possible grade at least once?

ANSWER:

Step 1 of 3

Let  denotes random variable which signifies that number of trial needs to get  new grade.

                                                           

So at  i = 1, we need 1 trail to get first new grade.

So,  

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