1. According to the National Institute of Allergy and Infectious Diseases, about
ID: 3370169 • Letter: 1
Question
1.
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 20 employees. Assume that employees are independent and answer the questions below. Round your answer to 2 decimal places.
a. What is the probability fewer than 3 of the employees will have a food allergy?
b. What is the probability exactly 1 employee will have a food allergy?
c. What is the mean number of American adults who have allergy?
2.According to a 2016 United States Census Bureau report, 69% of American families are comprised of two parents. What is the probability of the event that two families randomly sampled from the population are both comprised of two parents?
0.48
0.68
0.50
0.34
A.0.48
B.0.68
C.0.50
D.0.34
Explanation / Answer
1.
a.
Cumulative probability: P(X<3) = 0.96
b.
Binomial probability:?P(X = 1) = 0.36
c.
Mean= n*p = 0.037*20 = 7.4
2.
P(both families comprised of two parents) = 0.69*0.69 = 0.48
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