Motor vehicles sold in the United States (ignoring heavy trucks) are classified
ID: 3154162 • Letter: M
Question
Motor vehicles sold in the United States (ignoring heavy trucks) are classified as either cars or light trucks and as either domestic or imported. "Light trucks" include SUVs and minivans. "Domestic" means made in Canada, Mexico, or the United States, so that a Toyota made in Canada counts as domestic. In 2012, 82.7% of the new vehicles sold to individuals were domestic, 45.9% were light trucks, and 38.4% were domestic light trucks. Choose a vehicle sale at random. Find the following probabilities ( ± 0.001):
(a) P(domestic or light truck)=
(b) A vehicle is an imported car if it is neither domestic nor a light truck. P(imported car)
Explanation / Answer
Motor vehicles sold in the United States (ignoring heavy trucks) are classified as either cars or light trucks and as either domestic or imported. "Light trucks" include SUVs and minivans. "Domestic" means made in Canada, Mexico, or the United States, so that a Toyota made in Canada counts as domestic. In 2012, 82.7% of the new vehicles sold to individuals were domestic, 45.9% were light trucks, and 38.4% were domestic light trucks. Choose a vehicle sale at random. Find the following probabilities ( ± 0.001):
From the given information we can make the table for 1000 vehicles.
Domestic
Foreign
Total
Light
384
75
459
Not light
443
98
541
Total
827
173
1000
P(domestic or light truck)
= (827+459-384)/100
=0.902
(b) A vehicle is an imported car if it is neither domestic nor a light truck. P(imported car)
P=98/1000
=0.098
Domestic
Foreign
Total
Light
384
75
459
Not light
443
98
541
Total
827
173
1000
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