Many more adults in the United States have celiac disease than a decade ago. A new study suggests that approximately 1% of all U.S. adults have celiac disease and should avoid eating foods with gluten. Suppose five adults in the United States are selected at random.
a. What is the probability that exactly one of the five has celiac disease?
b. What is the probability that only the first adult and the fifth adult selected have celiac disease?
c. Suppose all five adults have celiac disease. Do you believe the claim concerning the percentage of adults with celiac disease? Justify your answer.