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. please show work if you can

Answer 1

A. This procedure is not a binomial distribution because recording their nationalities cannot be considered as a success or a failure.

B. This could be a Binomial distribution. Here we know that either gender has a 0.5 probability of occurrence. So number of male or female babies in the 200 can be modeled as a binomial distribution.

C. This procedure cannot be considered as a binomial distribution since there is no success or failure event defined in number of children in families.

D. This is a binomial distribution. Jurors responding "yes" could be considered as a success event and we might calculate the probability of success and model this as a binomial distribution.