Suppose that a certain college class contains 35 students. Of these, 20 are juniors, 19 are physics majors, and 10 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a junior and a physics major? (b) Given that the student selected is a physics major, what is the probability that she is also a junior?
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
Total students = 35
No of junior students = 20
No of physics major = 19
Neither = 10
Either juniors or physics student is = 35 - 10 = 25
N (Juniors U Physics) = 25
N (juniors ∩ physics) = 20 + 19 – 25 = 14
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