According to the National Institute of Allergy and Infectious Diseases, about 4.2% of American adults have a food allergy. A large company plans a lunch reception for its 350 employees. Assume that employees are independent. Let the random variable X be the number of company employees who have a food allergy. (a) What is the distribution of X? (b) What are the mean and standard deviation of the distribution of X? (c) Using the Normal approximation (with continuity correction), determine the probability that at most 10 of the 350 employees have a food allergy.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.