One in every three Americans believes that the U.S government should send a mission to Mars. If n = 30 Americans are randomly selected, find the probability that:
Part a. Exactly 8 out of these 30 selected Americans believe that the U.S government should send a mission to Mars.
Part b. At least 8 out of these 30 selected Americans believe that the U.S government should send a mission to Mars.
Part c. Use the Normal Distribution to find the approximate answer in Part b.