A university scholarship committee must select two students to receive a certain scholarship. The committee receives eight applications for the scholarships - five from male students and three from female students. The applicants are all equally qualified, so the two scholarship winners are randomly selected from the eight applicants. Let X be the number of female students who receive a scholarship. Then (Choose one correct answer) 1) X is not a Binomial random variable. 2) X∼Bin(3,3/8) 3) X∼Bin(2,3/8) 4) X∼Bin(2,2/8) 5) X∼Bin(2,2/3)
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.
A university scholarship committee must select two students to receive a certain scholarship. The committee receives eight applications for the scholarships - five from male students and three from female students. The applicants are all equally qualified, so the two scholarship winners are randomly selected from the eight applicants. Let X be the number of female students who receive a scholarship. Then (Choose one correct answer)
1) X is not a Binomial random variable.
2) X∼Bin(3,3/8)
3) X∼Bin(2,3/8)
4) X∼Bin(2,2/8)
5) X∼Bin(2,2/3)
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