A trucking company operates in three regions of the country. The table below depicts the probability that each company truck is in the region and the fuel prices per gallon. What amount should the company budget on average for a gallon of fuel across its operations? Round your answer to the nearest cent. Probability and Fuel Cost by Region Region Probability in Region Fuel Cost per Gallon Southeast 20% $3.10 Southwest 30% $3.50 California 50% $4.05 $3.53 $3.55 $3.68 $3.70

Question

Mathematics

Rhys Bass

5 February, 22:08

A trucking company operates in three regions of the country. The table below depicts the probability that each company truck is in the region and the fuel prices per gallon. What amount should the company budget on average for a gallon of fuel across its operations? Round your answer to the nearest cent. Probability and Fuel Cost by Region Region Probability in Region Fuel Cost per Gallon Southeast 20% $3.10 Southwest 30% $3.50 California 50% $4.05 $3.53 $3.55 $3.68 $3.70

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Emilia Mayo · Answer 1

Probability and Fuel Cost by Region

Region Probability in Region Fuel Cost per Gallon

Southeast 20% $3.10

Southwest 30% $3.50

California 50% $4.05

Southeast: 20% x $3.10 = $0.62

Southwest: 30% x $3.50 = $1.05

California: 50% x $4.05 = $2.025

What amount should the company budget on average for a gallon of fuel across its operations?

0.62 + 1.05 + 2.025 = 3.695 or $3.70