The National Highway Traffic Safety Administration requires each U.S. state to carry out an observational study to assess the level of seat belt use in the state. The report ?2015 Utah Seat Belt Use Survey? (Utah Department of Public Safety, September 14, 2015) summarized data from the study done in Utah. The proportions in the accompanying table are based on observations of over 25,000 drivers and passengers.

Assume that these proportions are representative of adults in Utah and that an adult from Utah is selected at random.

a. What is the probability that the selected adult uses a seat belt?

b. What is the probability that the selected adult uses a seat belt given that the individual selected is male?

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Does Not Use Seat Belt 0.077 0.048 Uses Seatbelt Male 0.423 0.452 Female