1. What is the probability that a randomly selected vehicle is a Company C? 2. W
ID: 3341005 • Letter: 1
Question
1. What is the probability that a randomly selected vehicle is a Company C?
2. What is the probability that a randomly selected vehicle is a truck?
3. What is the probability that a randomly selected vehicle is either a Company B or a car?
4. What is the probability that a randomly selected vehicle is a Company A truck?
5. What is the probability that a randomly selected vehicle is a Company C, given it is a car?
6. What is the probability that a randomly selected vehicle is a truck, given it is a Company B?
A local car dealership currently has 3 Company C vehicles that can be classified as either cars or trucks. The following data are available. Complete parts a) through g) below. 27 vehicles are cars. 12 vehicles are Company A. 15 vehicles are Company B. 2 vehicles are both Company C and trucks. 14 vehicles are both Company B and cars.Explanation / Answer
1) P(company C) = (37 - (12 + 15))/37 = 10/37 = 0.27
2) P(Truck) = (37 - 27)/37 = 10/37 = 0.27
3) P(B or car) = P(B) + P(car) - P(B and car)
= 15/37 + 27/37 - 14/37
= 28/37 = 0.76
4) P (company A truck) = 7/37 = 0.19
5) P(C|car) = P( C and car)/P(car)
= 8/27 = 0.296
6) P(Truck|B) = P(truck and B)/P(B)
=1/15 = 0.067
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