According to the national institute of allergy and infectious diseases, about 3.7% of american 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 the distribution of x? what are the mean and standard deviation of the distribution of x? using the normal approximation (with continuity correction), determine the probability that at least 20 of the 400 employees have a food allergy.