A local car dealership currently has 36 used Company A, Company B, and Company C vehicles that can be classified as either cars or trucks. The following data are available. Complete parts a) through g) below. a) What is the probability that a randomly selected vehicle is a Company C? 278 (Round to three decimal places as needed.) b) What is the probability that a randomly selected vehicle is a truck? (Round to three decimal places as needed.) c) What is the probability that a randomly selected vehicle is either a Company B or a car? (Round to three decimal places as needed.) d) What is the probability that a randomly selected vehicle is a Company A truck? (Round to three decimal places as needed.) e) What is the probability that a randomly selected vehicle is a Company .given it is a car? (Round to three decimal places as needed.) f) What is the probability that a randomly selected vehicle is a truck, given it is a Company B? (Round to three decimal places as needed.) g) Construct a decision tree for these events. Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) 27 vehicles are cars. 12 vehicles are Company A. 15 vehicles are Company B. 3 vehicles are both Company C and trucks. 14 vehicles are both Company B and cars.

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A local car dealership currently has 36 used Company A, Company B, and Company C vehicles that can be classified as either cars
or trucks. The following data are available. Complete parts a) through g) below.
a) What is the probability that a randomly selected vehicle is a Company C?
.278 (Round to three decimal places as needed.)
b) What is the probability that a randomly selected vehicle is a truck?
(Round to three decimal places as needed.)
c) What is the probability that a randomly selected vehicle is either a Company B or a car?
(Round to three decimal places as needed.)
d) What is the probability that a randomly selected vehicle is a Company A truck?
(Round to three decimal places as needed.)
e) What is the probability that a randomly selected vehicle is a Company C, given it is a car?
(Round to three decimal places as needed.)
f) What is the probability that a randomly selected vehicle is a truck, given it is a Company B?
(Round to three decimal places as needed.)
g) Construct a decision tree for these events. Select the correct choice below and fill in the answer boxes within your choice.
(Round to three decimal places as needed.)
O A.
1. P(A and car)
P(A)
P(B)
-2. P(A and truck)
3. P(B and car)
4. P(B and truck)
P(A) =
1 =
2=
P(B) =
3=
4=
27 vehicles are cars.
12 vehicles are Company A.
15 vehicles are Company B.
3 vehicles are both Company C and trucks.
14 vehicles are both Company B and cars.
B.
P(truck)
a
P(car)
1. P(truck and A)
2. P(truck and B)
-3. P(truck and C)
4. P(car and A)
-5. P(car and B)
6. P(car and C)
P(truck) =
1 =
2=
3=
P(car) =
4 =
5=
6=
Transcribed Image Text:A local car dealership currently has 36 used Company A, Company B, and Company C vehicles that can be classified as either cars or trucks. The following data are available. Complete parts a) through g) below. a) What is the probability that a randomly selected vehicle is a Company C? .278 (Round to three decimal places as needed.) b) What is the probability that a randomly selected vehicle is a truck? (Round to three decimal places as needed.) c) What is the probability that a randomly selected vehicle is either a Company B or a car? (Round to three decimal places as needed.) d) What is the probability that a randomly selected vehicle is a Company A truck? (Round to three decimal places as needed.) e) What is the probability that a randomly selected vehicle is a Company C, given it is a car? (Round to three decimal places as needed.) f) What is the probability that a randomly selected vehicle is a truck, given it is a Company B? (Round to three decimal places as needed.) g) Construct a decision tree for these events. Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) O A. 1. P(A and car) P(A) P(B) -2. P(A and truck) 3. P(B and car) 4. P(B and truck) P(A) = 1 = 2= P(B) = 3= 4= 27 vehicles are cars. 12 vehicles are Company A. 15 vehicles are Company B. 3 vehicles are both Company C and trucks. 14 vehicles are both Company B and cars. B. P(truck) a P(car) 1. P(truck and A) 2. P(truck and B) -3. P(truck and C) 4. P(car and A) -5. P(car and B) 6. P(car and C) P(truck) = 1 = 2= 3= P(car) = 4 = 5= 6=
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