IS THERE LIFE ON MARS? A random sample of 160 scientists is asked whether they believe that life once existed on Mars. Eight of
them do, and 152 do not. If the true proportion of scientists who believe life once existed on Mars is 5%, what is the probability of eight or fewer answering "yes" in a sample of this size? What sampling distribution(s) can we use to compute this probability?
The sides AB and CD are parallel to the x-axis and 5 units apart. The length of side AB is 6-(-12) = 18 units. The area is the product of these dimensions:
Area = (Base)(Height) = (18 units)(5 units) = 90 units²