Question

Identifying binomial distribution. Determine whether the given procedure results in a binomial distribution. For those that are not binomial, identify at least one requirement that is not satisfied.

A. Randomly selecting 20 jurors and recording their nationalities.

B. Recording the gender of 200 newborn babies.

C. Recording the number of children in 200 families.

D. Surveying 12 jurors and recording whether there is a “yes” response when they are asked if they have ever been convicted of a felony.

Show all of your work as if you were inputting it into a graphing calculator.

Answer 1

We know that,

For binomial experiment, outcomes of an experiment should be two(i.e., Success and failure).

A. Here, recording nationalities have the more than two outcomes, Hence it does not have binomial distribution.

B. Here, Gender has two outcomes as either male or female. Hence, has is binomial distribution.

C. Here, recording number of children have more than two outcomes, Hence if does not have binomial distribution.

D. Here, Outcome of an experiment are two as either yes or no. Hence, It has binomial distribution.

Thank you.