NBC News reported on May 2, 2013, that 9 % children in the United States have a food allergy of some sort. Consider selecting a random sample of 21 children and let X be the number in the sample who have a food allergy. (Round your probabilities to three decimal places.) A button hyperlink to the SALT program that reads: Use SALT. I. Selection the best answer for the following questions: (a) What is the probability distribution of X? Poisson with Poi(21) Binomial with Bin(21, 0.09) Normal with N(21, 0.09) Exponential with Exp(21) (b) What are the possible values for X? 0, 1 to 20 0, 1 to 21 1, 2 to 22 1, 2 to 21 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.)