In a certain state, 31.3% of all community college students belong to ethnic minorities. Find the probabilities of the following results in a random sample of 10 of the community college students. a. Exactly 2 belong to an ethnic minority. b. Three or fewer belong to an ethnic minority. c. Exactly 5 do not belong to an ethnic minority. d. Six or more do not belong to an ethnic minority.
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.
In a certain state, 31.3% of all community college students belong to ethnic minorities. Find the probabilities of the following results in a random sample of 10 of the community college students.
a. Exactly 2 belong to an ethnic minority.
b. Three or fewer belong to an ethnic minority.
c. Exactly 5 do not belong to an ethnic minority.
d. Six or more do not belong to an ethnic minority.
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