A lazy professor gave two tests A and B to a class of n students and assigned marks A; and Bi, respectively, to student i, for i and independently at random with values from the set of possible grades 1, 2, ..., k. For example, the values of grades could be chosen from 1,2, ..., n, uniformly %3| A+, A, A-, B+, B, B–,C+,C, C-, D+, D.D-, F, in which case k = 13. Derive a formula for the probability that some student receives the same grade in both tests. Is it| likely that this could happen in the present the Distributed Computing class which has n = 91 students registered, for k = 13?
A lazy professor gave two tests A and B to a class of n students and assigned marks A; and Bi, respectively, to student i, for i and independently at random with values from the set of possible grades 1, 2, ..., k. For example, the values of grades could be chosen from 1,2, ..., n, uniformly %3| A+, A, A-, B+, B, B–,C+,C, C-, D+, D.D-, F, in which case k = 13. Derive a formula for the probability that some student receives the same grade in both tests. Is it| likely that this could happen in the present the Distributed Computing class which has n = 91 students registered, for k = 13?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:A lazy professor gave two tests A and B to a class of n students and assigned
marks A; and B;, respectively, to student i, for i
and independently at random with values from the set of possible grades
k. For example, the values of grades could be chosen from
1,2,..., n, uniformly
1,2,
...
А+, А, А-, В+, В, В-,С+,С, С-, D+, D.D-, F,
in which case k
13. Derive a formula for the probability that some student
receives the same grade in both tests. Is it likely that this could happen
in the present the Distributed Computing class which has n = 91 students
registered, for k = 13?
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