According to the National Institute of Allergy and Infectiou

According to the National Institute of Allergy and Infectious Diseases, approximately 7% of American children 4 years of age or under have a food allergy. A day care has capacity for 8 children in that age range. Assume that the children attending the daycare are independent. Let the random variable X be the number of children in this day care who have a food allergy. X follows a

Normal distribution with mean 8 and variance 0.07.

Binomial distribution with n = 8 and p = 0.07.

Binomial distribution with n = 8 and p = 0.93.

Poisson distribution with mean and variance 0.07.

Solution

Binomial distribution with n = 8 and p = 0.07.