To find: does X have a binomial distribution?
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,
Probability of success: Satisfied,
Thus X has a binomial distribution.
Conclusion:
Probability of success: Satisfied,
Thus X has a binomial distribution.
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Chapter 12 Solutions
Practice of Statistics in the Life Sciences
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