PRACT. OF STAT. IN LIFE SCI.W/ACHIEVE 1
PRACT. OF STAT. IN LIFE SCI.W/ACHIEVE 1
4th Edition
ISBN: 9781319424114
Author: Moore
Publisher: MAC HIGHER
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Chapter 12, Problem 12.1AYK
To determine

To find: does X have a binomial distribution?

Expert Solution & Answer
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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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