Let r be a binomial random variable representing the number of successes out of n trials. (a) Explain why the sample space for r consists of the set {0, 1, 2, ..., n} and why the sum of the probabilities of all the entries in the entire sample space must be 1. (b) Explain why P(r ≥ 1) = 1 − P(0). (c) Explain why P(r ≥ 2) = 1 − P(0) − P(1). (d) Explain why P(r ≥ m) = 1 − P(0) − P(1) − ... − P(m − 1) for 1 ≤ m ≤ n.
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.
Let r be a binomial random variable representing the number of successes out of n trials.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
