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UF-ESI-6321 UF-ESI-6321-02-17.xmcd page 1 of 3 2.17 In a particular town there are two automobile rental agencies that offer different prices for a weekend out-of-state automobile rental. An automobile rental at Express Car Rentals (ECR) costs \$195 and includes free unlimited mileage. Rental ECR 195 := Mileage ECR miles' ( ) 0 := An automobile rental at Discount Rentals Agency (DRA) costs \$130 plus a mileage charge; the first 300 miles are free and each additional mile costs \$0.20 per mile. Rental DRA 130 := Mileage DRA miles' ( ) if miles' 300 > 0.20 miles' 300 - ( ) , 0 , [ ] := A market survey indicates that the miles driven by rent-a-car customers for weekend rentals obeys the probability distribution shown in Table 2.31. i 1 8 .. := miles i 100 i 1 + ( ) := p i 0.07 0.19 0.23 0.14 0.07 0.13 0.09 0.08 := 200.00 600.00 1000.00 0.050 0.100 0.150 0.200 0.250 p miles Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435

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UF-ESI-6321 UF-ESI-6321-02-17.xmcd page 2 of 3 (a) Last weekend, Ann rented a car from ECR and Bill rented a car from DRA. They were charged the same amount for their rentals. How many miles did Bill drive?
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