Suppose you have a class with 30 students ‒ 10 freshmen, 12 sophomores, and 8 juniors. a) You pick one student at random. What is the probability that the student is not a junior? b) You pick two students at random, one at a time. What is the probability that both are freshmen? c) You pick two students at random, one at a time. What is the probability that the second student is a freshman, given that the first is a freshman?
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.
Suppose you have a class with 30 students ‒ 10 freshmen, 12 sophomores, and 8 juniors.
a) You pick one student at random. What is the probability that the student is not a junior?
b) You pick two students at random, one at a time. What is the probability that both are freshmen?
c) You pick two students at random, one at a time. What is the probability that the second student is a freshman, given that the first is a freshman?
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