Motor vehicles sold in the United States ignoring heavy truc

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.

The table below gives the following probabilities for a randomly chosen light motor vehicle sold at retail in the United States:

Total says: 0.48, 0.52, 1 respectively on the right (not sure if it does not show)

(a) Find the probability (±0.01) that a randomly chosen vehicle is a light truck is

P(light truck)=

(b) Find the probability (±0.01) that a vehicle is a light truck, given the information that it is imported.

P(light truck | imported)=

Solution

a)
P(light truck) = P( Domestic light stuck) +P( car light stuck) = 0.362+0.158 = 0.52

b)

P(Light stuck | Imported) = P( Light stuck and Imported) / P( Imported) = 0.07 / 0.228 = 0.30701