4) A factory produces electric cars. 40% of these cars are painted the very popular Metallic Midnight Blue color. Of the cars painted Metallic Midnight Blue, 38 % have sunroofs installed. Of the cars not painted Metallic midnight Blue, 28% have sunroofs installed. A car is randomly selected from the production line to be used as a prize in a contest.
a) what is the probability that the car selected has a sunroof?
b) what is the probability that the car is not metallic midnight blue and does not have a sunroof?
c) what is the probability that the car is metallic midnight blue given that it does have a sunroof?
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