Relative Frequencies Answers

One drive-through car wash facility offers three different types of washes: basic, deluxe, and supreme. The manager of the car wash facility tallies customer selections over three days: Type of Car Wash BasicDeluxeSupremeTotalDayFriday15431977Saturday275222101Sunday23451987 Total6514060265What proportion of customers selected the deluxe car wash?

Passengers traveling by airplane have two options for their bags: carry-on (for smaller bags) or check (for large bags). An airline examines the baggage choices of its customers on a selection of short flights (less than 500 miles) and long flights (more than 500 miles). Length of Flight ShortLongTotalBaggageOptionsCarry-on342259601Check178311489Neither533285 Total5736021175What is the probability that a customer is on a short flight, given that the customer has a carry-on bag?

A school administrator asks each student if they participate in a sport and if they participate in a club. The results are shown below. Participates in a Sport YesNoTotalParticipates in a ClubYes6204501070No325535860 Total9459851930Given that a student participates in a sport, what is the probability that the student also participates in a club?

Students apply for admission to different academic programs within a college. Because of space, each program can only accept a limited number of students. The table below shows the acceptance data for a selection of majors in the college. Acceptance Status AcceptedRejectedTotalCollege MajorChemistry721890Business6535100Spanish451560 Total18268250For the majors listed here, what proportion of students were rejected?

A movie theater offers three types of tickets: child, student, and adult. Ticket sales for two movies are shown in the table. Ticket Type ChildStudentAdultTotalMovie TitleThe Ransom123870100Space Force344256132 Total4680126232If a ticket was sold for Space Force, what is the probability it was a student ticket?

An arena manager tallies the number of snack items (hot dogs, nachos, and popcorn) sold at each of three concession stands in the arena. Snack Item Hot DogsNachosPopcornTotalConcessionStandsStand A1256540230Stand B21811952389Stand C655213130 Total408236105749What proportion of all concession stand sales were hot dogs?

Vehicles passing over a bridge have two options for paying their bridge toll: paying with a live cashier or using a Speed Pass device affixed to the dashboard. Data on a busy day for cars and trucks passing over the bridge are shown here. Payment Method Live CashierSpeed PassTotalVehicle TypeCar3567102Truck184765 Total53114167What proportion of vehicles crossing the bridge are trucks and use Speed Pass?

An elected official surveyed residents of a town to assess their satisfaction with city services. The survey includes both those who own and those who rent their homes. Level of Satisfaction HighMediumLowTotalOwners26341878Renters1512532Total414623110What is the probability that a resident reports high satisfaction, given that the resident is a renter?

A student collected data on the size of coffee chosen by customers at a convenience store, and whether the customers took their coffee with cream, sugar, or both. Size of Coffee SmallMediumLargeTotalCoffee AdditiveCream8152144Sugar481123Both15234280 Total274674147Given that a customer likes both cream and sugar, what is the probability that the customer chose a large coffee?

Food services for a school district examined the choices of side dish for students at three types of schools in the district: elementary school, middle school, and high school. Side Dish Chosen French FriesCarrot SticksApple WedgesTotalType of SchoolElementary853523143Middle564231129High474536128 Total18812290400Given that a student chose apple wedges, what is the probability that the student is in high school?