According to the National Institute of Allergy and Infectious Diseases, approximately 7% of U.S. children 4 years of age or younger have a food allergy. A day care program has capacity for 8 children in that age range. Assume that the children attending the day care program are independent. Let the random variable X be the number of children in this day care who have a food allergy. What is the probability that at least one of the eight children has a food allergy? 0 0.8965 0 0.5596 0 0.4404 0 0.3370 Question 29 [1 point) According to the National Institute of Allergy and Infectious Diseases, approximately 3.7% of U.S. adults have a food allergy. A large company plans a lunch reception for its 400 employees. Assume that employees are independent. Let the random variable X be the number of company employees who have a food allergy. What is a reasonable approximation of the distribution of X? 0 N(400. 0.037) O N(14.a, 3.775) O M400, 0.0025) 0 N(14.2524, 0.0025) Question 30 [1 point) The lengths of 1-year-old girls can be described using a Normal distribution with a mean of 29 inches and a standard deviation of 1.2 inches. Using the 689599] rule, what percent of 1-year-old girls are longer than 31.4 inches? 0 0.001596