Question: Suppose studies have shown that approximately 20% (.2) of Americans regularly engage in exercise (at least 3 times per week).
a. If one American is randomly selected, what is the probability that he or she does not regularly engage in exercise? Set up calculation.
b. If three Americans are randomly selected, what is the probability that all three regularly engage in exercise? Set up the calculation.
c. What assumption is being made in part b above?
d. If two Americans are randomly selected, what is the probability that the first American regularly engages in exercise while the second American does not regularly engage in exercise? Set up the calculation.
For grading purposes, make sure that the values are in the correct order to verify that you assign the correct probabilities.