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?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
As an added incentive for students to do homework for their
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
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