All-terrain vehicles (ATVs) came under fire in the 1980s owing to the high number of injuries and deaths attributed to these machines. In response, manufacturers agreed to provide extensive safety warnings to owners, to develop a media safetyawareness program, and to implement a nationwide training program. The Journal of Risk and Uncertainty (May 1992) published an article investigating the relationship of injury rate to a variety of factors. One of the more interesting factors studied. age of thc drivcr, was found to havc a strong relationship to injury rate. The article reports that prior to the safety-awareness program, 14% of the ATV drivcrs were under age 12;

another 13% were 12-15. and 48% were under age 25. Suppose an ATV driver is selected at random prior to the installation of the safetyawareness program.

a. Find the probability that the ATV driver is 15 years old or younger.

b. Find the probability that the ATV driver is 25 years old or older.

c. Given that the ATV driver is under age 25, what is the probability the driver is under age 12?

d. Are the events Under age 25 and Under age 12 mutually exclusive? Why or why not?

e. Are the events Under age 25 and Under age 12 independent'? Why or why not?