NBC News reported on May 2, 2013, that 11 % children in the United States have a food allergy of some sort. Consider selecting a random sample of 23 children and let X be the number in the sample who have a food allergy. (Round your probabilities to three decimal places.)
I. Selection the best answer for the following questions:
(a) What is the probability distribution of ?
Poisson with Poi(23)
Exponential with Exp(23)
Binomial with Bin(23,0.11)
Normal with N(23,0.11)
II. Calculate the probabilities:
(a) What is the probability that at most 2 children have a food allergy? (Round your probabilities to three decimal places.)