An actuarial student studies for an exam using a review course, a textbook, or both. 70% of students using only a review course pass, 40% of students using only a textbook pass, and 75% of students using both pass. 40% of students use both methods. 20% use a textbook only. Given that a student passes, what is the probability that a student only used a review course?
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.
An actuarial student studies for an exam using a review course, a textbook, or both.
- 70% of students using only a review course pass,
- 40% of students using only a textbook pass, and
- 75% of students using both pass.
- 40% of students use both methods.
- 20% use a textbook only.
Given that a student passes, what is the probability that a student only used a review course?
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