A company has been randomly selecting employees to join committees but there does not seem to be a very equal distribution of level of employees (executives don’t want to be on committees). Assume that this is a really, really large company where 15% are executives; 20% are managers; 40% are exempt staff and the remaining are non-exempt staff. If 10 committees are to be formed (each with 6 members) what is the probability that at least 7 of the 10 have 2 managers, 2 exempt and 2 non-exempt staff?
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.
A company has been randomly selecting employees to join committees but there does not seem to be a very equal distribution of level of employees (executives don’t want to be on committees). Assume that this is a really, really large company where 15% are executives; 20% are managers; 40% are exempt staff and the remaining are non-exempt staff.
If 10 committees are to be formed (each with 6 members) what is the
Trending now
This is a popular solution!
Step by step
Solved in 2 steps