Practice of Statistics in the Life Sciences
Practice of Statistics in the Life Sciences
4th Edition
ISBN: 9781319013370
Author: Brigitte Baldi, David S. Moore
Publisher: W. H. Freeman
Question
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Chapter 12, Problem 12.1AYK
To determine

To find: does X have a binomial distribution?

Expert Solution & Answer
Check Mark

Answer to Problem 12.1AYK

X has a binomial distribution.

Explanation of Solution

Given:

Random dialing machine make 15 calls and 20% of the calls reach a live person.

Calculation:

The four conditions for a binomial setting are: binary (success/failure), independent, trials, fixed number of trials and probability of success is the same for each trial.

Binary: Satisfied, a success is reaching a live person and a failure is not reaching a live person

Independent: Satisfied, because the telephone numbers are selected at random.

Fixed number of trials: Satisfied, n=15 .

Probability of success: Satisfied, p=20%=0.20 .

Thus X has a binomial distribution.

Conclusion:

Probability of success: Satisfied, p=20%=0.20 .

Thus X has a binomial distribution.

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