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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 47E: Assume that a survey of 282 people is taken to determine the opinions of doctors, teachers, and...
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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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