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According to the National Institute of Allergy and Infectious Diseases, 6% of American adults have a...

According to the National Institute of Allergy and Infectious Diseases, 6% of American adults have a food allergy. A large company plans a lunch reception for its 500 employees. Assume that employees are independent. Let the random variable X be the number of company employees who have a food allergy.

(a) What are the assumptions/requirements of a Binomial distribution? Does this situation meet all these requirements?

(b) What are the expected value and standard deviation of X (i.e., of the population)?

(c) What is the probability that none of the 500 employees has a food allergy?

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