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The Automobile Association of America has determined that if you drive a Volvo i

ID: 3365090 • Letter: T

Question

The Automobile Association of America has determined that if you drive a Volvo in Los Angeles, your mileage per gallon will be: Category 1: Less than 22 miles per gallon with probability 0.30 = p1 Category 2: Twenty-two (22) to 25 miles per gallon with probability 0.50 = p2 Category 3: More than 25 miles per gallon with probability 0.20 = p3 If four (4) “test” Volvos are driven in Los Angeles, what is the probability that one of them will get less than 22 miles per gallon, two of them will get 22 to 25 miles per gallon, and one of them will get more than 25 miles per gallon?

Explanation / Answer

Required probability = 4C1*0.3 * 3C2*0.5^2 * 0.2 = 0.18

p Less than 22 mpg 0.3 22 - 25 mpg 0.5 > 25 mpg 0.2