There 3 people to be chosen for a committee from 5 Democrats and 4 Republicans. (a) What is the probability that at least 1 Democrat is chosen? (b) Suppose that you know that at most 1 Republican was chosen for the committee. Find the conditional probability that at least 1 Democrat was chosen given that at most 1 of the committee members is a Republican. (c) What is the probability at least one Republican was chosen given that none of the committee members are Democrats? (This should not require any work!)
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.
There 3 people to be chosen for a committee from 5 Democrats and 4 Republicans.
(a) What is the
(b) Suppose that you know that at most 1 Republican was chosen for the committee. Find the conditional
probability that at least 1 Democrat was chosen given that at most 1 of the committee members is a
Republican.
(c) What is the probability at least one Republican was chosen given that none of the committee
members are Democrats? (This should not require any work!)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
