The U.S. Customs and Border Protection Agency maintains a table of the estimated wait times for reaching the primary inspection booth when crossing the Canada/U.S. border. The processing goal for...

The U.S. Customs and Border Protection Agency maintains a table of the estimated wait times for reaching the primary inspection booth when crossing the Canada/U.S. border. The processing goal for passenger vehicles is 15 minutes.31 Suppose the time to cross the border at Alexandria Bay is a random variable, X, with probability density function given by

a. Carefully sketch a graph of the density function.

b. Find the probability that it takes less than five minutes for a randomly selected passenger vehicle to cross the border at Alexandria Bay.

c. Find the probability that it takes more than eight minutes for a randomly selected passenger vehicle to cross the border at Alexandria Bay.

d. Find the probability that it takes between two and six minutes for a randomly selected passenger vehicle to cross the border at Alexandria Bay. e. Suppose it takes less than two minutes for a randomly selected passenger vehicle to cross the border at Alexandria Bay. What is the probability that it takes less than one minute?