Roger Hunt intends to purchase one of two car dealerships currently for sale in a certain city. Records obtained from each of the two dealers reveal that their weekly volume of sales, with corresponding probabilities, are as follows. Dahl Motors Cars Sold/Week 5 6 7 8 9 10 11 12 Probability 0.05 0.09 0.14 0.24 0.18 0.14 0.11 0.05 Farthington Auto Sales Cars Sold/Week 5 6 7 8 9 10 Probability 0.08 0.21 0.31 0.24 0.10 0.06 The average profit per car at Dahl Motors is $549, and the average profit per car at Farthington Auto Sales is $654. (a) Find the average number of cars sold each week at each dealership. Dahl cars Farthington cars (b) If Roger's objective is to purchase the dealership that generates the higher weekly profit, which dealership should he purchase? (Compare the expected weekly profit for each dealership.) The expected weekly profit from Dahl Motors is $ . The expected weekly profit from Farthington Auto Sales is $ . Therefore, Roger should purchase
Roger Hunt intends to purchase one of two car dealerships currently for sale in a certain city. Records obtained from each of the two dealers reveal that their weekly volume of sales, with corresponding probabilities, are as follows. Dahl Motors Cars Sold/Week 5 6 7 8 9 10 11 12 Probability 0.05 0.09 0.14 0.24 0.18 0.14 0.11 0.05 Farthington Auto Sales Cars Sold/Week 5 6 7 8 9 10 Probability 0.08 0.21 0.31 0.24 0.10 0.06 The average profit per car at Dahl Motors is $549, and the average profit per car at Farthington Auto Sales is $654. (a) Find the average number of cars sold each week at each dealership. Dahl cars Farthington cars (b) If Roger's objective is to purchase the dealership that generates the higher weekly profit, which dealership should he purchase? (Compare the expected weekly profit for each dealership.) The expected weekly profit from Dahl Motors is $ . The expected weekly profit from Farthington Auto Sales is $ . Therefore, Roger should purchase
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Roger Hunt intends to purchase one of two car dealerships currently for sale in a certain city. Records obtained from each of the two dealers reveal that their weekly volume of sales, with corresponding probabilities, are as follows.
| Dahl Motors | ||||||||
| Cars Sold/Week | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|
| Probability | 0.05 | 0.09 | 0.14 | 0.24 | 0.18 | 0.14 | 0.11 | 0.05 |
| Farthington Auto Sales | ||||||
| Cars Sold/Week | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|
| Probability | 0.08 | 0.21 | 0.31 | 0.24 | 0.10 | 0.06 |
The average profit per car at Dahl Motors is $549, and the average profit per car at Farthington Auto Sales is $654.
(a) Find the average number of cars sold each week at each dealership.
(b) If Roger's objective is to purchase the dealership that generates the higher weekly profit, which dealership should he purchase? (Compare the expected weekly profit for each dealership.)
| Dahl | cars |
| Farthington | cars |
(b) If Roger's objective is to purchase the dealership that generates the higher weekly profit, which dealership should he purchase? (Compare the expected weekly profit for each dealership.)
The expected weekly profit from Dahl Motors is $ . The expected weekly profit from Farthington Auto Sales is $ . Therefore, Roger should purchase .
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