As an added incentive for students to do homework for their probability course, the professor randomly picks two students at each class meeting. These two students are asked to explain a homework problem. On a particular day, five students from the class of 20 students have not done the homework. Let the random variable X be the number of students picked who have not done the homework. What is the probability mass function of X?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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As an added incentive for students to do homework for their probability course, the professor randomly picks two students at each class meeting. These two students are asked to explain a homework problem. On a particular day, five students from the class of 20 students have not done the homework. Let the random variable X be the number of students picked who have not done the homework. What is the probability mass function of X?

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Step 1

Given, 

Total number of students n=20

Number of students who have not done the homework X=5

The probability of Success (student who have not done the homework) is p=520=0.25

 

 

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