Problem 10BSC

Identifying Binomial Distributions. In Exercises, determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial). For those that are not binomial, identify at hast one requirement that is not satisfied

Surveying Senators Ten different senators are randomly selected without replacement, and the numbers of terms that they have served are recorded.

Solution 10BSC

To be a binomial probability distribution, a procedure must satisfy the preceding four requirements:

1. The procedure has a fixed number of trials. Here, 10 different senators were randomly selected.

2. The trials must be independent. Here, the population consists of 83 males and 17 females, that is, population size is 100. We are given that sample is selected without replacement. They are not independent. (Since the sample size is more than 5% of the population (10% of the population). From the 5% Guideline...