One of 225 different colors is assigned to a ball where each color is equally likely. For a group of n balls, a. Find the expected number of colors which are assigned to exactly k balls. b. Find the expected number of colors which have been assigned to more than one ball. c. In part (b) how large should n be to make thi
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.
One of 225 different colors is assigned to a ball where each color is equally likely.
For a group of n balls,
a. Find the expected number of colors which are assigned to exactly k balls.
b. Find the expected number of colors which have been assigned to more than one ball.
c. In part (b) how large should n be to make this expectation exceed 1? (Use calculator or code to do this part)
Step by step
Solved in 3 steps
