A math test consists of 17 multiple choice questions each wi

A math test consists of 17 multiple choice questions,

each with five possible answers (a, b, c, d, e), only one of which is correct.

Assume that a student takes the test and randomly answers the questions.

Explain why this situtation describes a binomial experiment.

Solution

A math test consists of 17 multiple choice questions,

each with five possible answers (a, b, c, d, e), only one of which is correct.

Assume that a student takes the test and randomly answers the questions.

Explain why this situation describes a binomial experiment.

Five possible answers and one is correct for all the questions.

Therefore the probability of correct answer is fixed for all the questions.

The sample size n =17 is also fixed

Condition for binomial :

All are here satisfied. There fore this situation describes a binomial experiment