Question

according to a recent poll, half of all pet owners would get their next dog or cat from a shelter. consider a random sample of 25 pet owners and define x as the number of pet owners who would acquire their next dog or cat from a shelter. assume that x is a binomial random variable. complete parts a through f below

a. for this binomial experiment, define a success.

a. a success is a pet owner who did not acquire their dog or cat from a shelter.

b. a success is a pet owner who would not acquire their next dog or cat from a shelter.

c. a success is a pet owner who acquired their dog or cat from a shelter.

d. a success is a pet owner who would acquire their next dog or cat from a shelter.

b. for this binomial experiment, what is n?

n =

Explanation:

Step1: Define success in binomial experiment

In a binomial experiment, success is defined based on the event of interest. Here, the variable \(x\) is defined as the number of pet owners who would acquire their next dog or cat from a shelter. So, a success is when a pet owner would acquire their next dog or cat from a shelter.

Step2: Determine \(n\) in binomial experiment

In a binomial experiment, \(n\) represents the number of trials. Here, the number of pet - owners in the sample is the number of trials. Given that the sample size is 25 pet owners.

Answer:

a. D. A success is a pet owner who would acquire their next dog or cat from a shelter.
b. \(n = 25\)