A company manufactures 3 models of cars. Of these, 65% have gasoline engines (G), 25% have diesel engines (D), and 10% have electric engines (E). The percentages of cars with (M)anual transmissions are: 40% of the (G) models, 50% of the (D) models and 20% of the (E) models. The rest of the cars have (A)utomatic transmissions.
A company manufactures 3 models of cars. Of these, 65% have gasoline engines (G), 25% have diesel engines (D), and 10% have electric engines (E). The percentages of cars with (M)anual transmissions are: 40% of the (G) models, 50% of the (D) models and 20% of the (E) models. The rest of the cars have (A)utomatic transmissions.
Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A company manufactures 3 models of cars. Of these, 65% have gasoline engines (G), 25% have diesel engines (D), and 10% have electric engines (E).
The percentages of cars with (M)anual transmissions are: 40% of the (G) models, 50% of the (D) models and 20% of the (E) models. The rest of the cars have (A)utomatic transmissions. A car is randomly selected for test-driving.
a) What is the probability that it has (A)utomatic transmission?
b) Given that the car has a (M)anual transmission, what is the probability that it is a (D) model?
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