11.1 Empirical and Theoretical Probabilities 667 12. Music Purchases At the Jackpot Records store in Portland, Oregon, 60 people entering the store were randomly selected and were asked to choose their favorite type of music. Of the 60, 12 chose rock, 16 chose country, 8 chose blues, and 24 chose something other than rock, country, or blues. Determine the empirical probability that the next person entering the store favors a) rock music. 1 5 b) country music. 4 15 c) something other than rock, country, or blues music. 2 5 13. Veterinarian In a given week, a veterinarian treated the following animals. Animal Number Treated Dog 45 Cat 40 Bird 15 Rabbit 5 Determine the empirical probability that the next animal the veterinarian treats is a) a dog. 3 7 b) a cat. 8 21 c) a rabbit. 1 21 14. Bicycle Repair In a given week, Paul’s Bike Shop repaired bicycles with the following brand names. Bicycle Brand Number Repaired Giant 36 Trek 33 Specialized 18 Cannondale 15 Determine the empirical probability that the next bicycle repaired is a a) Giant. 6 17 b) Trek. 11 34 c) Cannondale. 5 34 For Exercises 15–18, write your answer as a decimal number rounded to four decimal places. In each exercise, assume the trend continues. 15. Top Movies The following table shows the top five attended movies, at movie theaters, in the United States during 2022. Movie 2022 Movie Attendance Top Gun: Maverick 68,524,300 Black Panther: Wakanda Forever 41,640,100 Doctor Strange in the Multiverse of Madness 39,239,100 Avatar: The Way of Water 38,254,300 Jurassic World Dominion 35,949,900 Total 223,607,700 Source: BoxOfficeMojo.com If a person attended one of these five movies, determine the empirical probability the movie was a) Top Gun: Maverick 0.3064 b) Black Panther: Wakanda Forever 0.1862 c) Jurassic World Dominion 0.1608 16. Top Concerts The following table shows the top five attended concert tours in North America during 2022. m Elton John Concert Tour 2022 Concert Attendance Bad Bunny 1,655,900 Def Leppard/Motley Crüe 1,341,000 Kenny Chesney 1,296,100 Elton John 1,231,700 Garth Brooks 1,171,600 Total 6,696,300 Source: Variety.com If a person attended one of these five concert tours, determine the empirical probability the tour was a) Bad Bunny 0.2473 b) Kenny Chesney 0.1936 c) Garth Brooks 0.1750 Burcu Batmaz/Shutterstock Tony Norkus/Shutterstock
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