Given the continuous probability distribution in, imagine that the distribution represents the probability that a certain expert dart thrower will hit a 1-ft target within a certain distance y from the center 0.
a. What is the total area within the triangle?
b. What is the area of the shaded portion of the distribution?
c. What is the probability that the dart will hit at a point that is from 6 in. to 1 ft from the center of the target?
d. What is the area of the unshaded portion of the distribution?
e. What is the probability that the dart will hit at a point that is less than 6 in. from the center of the target?
4. An oil company believes that the probability of striking oil on a single random drilling in a certain field is 1/3. They drill and hit oil on the sixth attempt. Is there any evidence that the probability of a strike is less than 1/3?