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A local car dealership currently has 3434 used Company A, Company B, and Company

ID: 3071297 • Letter: A

Question

A local car dealership currently has 3434 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 local car dealership currently has 34 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. 26 vehicles are cars. 10 vehicles are Company A 16 vehicles are Company B 2 vehicles are both Company C and trucks. 15 vehicles are both Company B and cars. a) What is the probability that a randomly selected vehicle is a Company C? (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.) . 1. P(truck and A) 2. P(truck and B) 3. P(truck and C) 4. P(car and A) Pícar and R 1. P(A and car) P(truck) P(A) P(A and truck) 3.MB and car) P(car) P(B) Click to select your answer(s).

Explanation / Answer

a)P(company C)=8/34 = 0.235

b)

P(truck)=8/34 =0.235

c)

P(company B or car)=(16+26-15)/34 =0.794

d)

P(company A and truck)=5/34=0.147

e)

P(Company C|car)=6/26 =0.231

f)

P(truck|company B)=1/16 =0.063

g)

option A is correct if only A and B are given as per picture/

A B C total cars 5 15 6 26 trucks 5 1 2 8 total 10 16 8 34
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