A politician is urging tighter restrictions on drivers’ licenses issued to teens. He claims that "in one of every five auto accidents (i. e., 20%) a teenager is behind the wheel." You decide to do a little research and find 67 records of car accidents over the past few months. Only 9 of the accidents had a teenager behind the wheel. Assume that we can consider these 67 accidents as a random sample of all accidents. a. Let X denote the number of accidents with teenage drivers in those 67 cases. If the politician is correct, what is the exact distribution of X? State the name of the distribution and specify the values of the related parameters.
b. If the politician is correct, what is the chance that you would observe 9 or fewer accidents with a teenager driver?