uppose among 80 BBA students 10 are on academic probation, among 70 BSE students 15 are on academic probation and among 70 BAIS students 22 are on academic probation. One of these three cohorts is randomly chosen and then 4 students are randomly chosen from that cohort. a) What is the probability that all four chosen students will be on academic probation? b) What is the probability that none of the four chosen students will be on academic probation? c) Given that all four chosen students are on academic probation, what is the probability that they are BSE student
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 among 80 BBA students 10 are on academic probation, among 70 BSE students 15 are on academic probation and among 70 BAIS students 22 are on academic probation. One of these three cohorts is randomly chosen and then 4 students are randomly chosen from that cohort.
a) What is the probability that all four chosen students will be on academic probation?
b) What is the probability that none of the four chosen students will be on academic probation?
c) Given that all four chosen students are on academic probation, what is the probability that they are BSE students?
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