A history class is comprisea of 6 female and 3 male students. If the instructor of the class randomly chooses 5 students from the class for an oral exam, what is the propability that 3 female students and 2 male students will be selected? Round your answer to 3 decimal places.
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.
Given Information:
No. of female students in a history class = 6
No. of male students in a history class = 3
No. of students chosen by the instructor for an oral exam = 5
No. of female students selected = 3
No, of male students selected = 2
To find the probability that 3 female and 2 male students will be selected:
Probability of an event is given by the formula:
Number of ways to select 3 female students from a total of 6 female students is done in ways.
That is:
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