Please help me A local car dealership currently has 34 used Company A, Company B
ID: 3071292 • Letter: P
Question
Please help me
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
Solution:-
a) The probability that randomly selected vehicle is Company C is 0.2353.
Total number of vehicles = 34
Number of vehicles that are Company C = 34 - 10 - 16 = 8
The probability that randomly selected vehicle is Company C = 8/34 = 0.2353
b) The probability that randomly selected vehicle is truck is 0.2353
Total number of vehicles = 34
Total number of trucks = 34 - 26 = 8.0
The probability that randomly selected vehicle is truck = 8/34 = 0.2353
c) The probability that randomly selected vehicle is either a company B or a car is 0.7941.
Number of vehicles that are car = 26
Number of vhicle that are company B = 16
Number of vehicle that are company B and a car = 15
Number of vehicle that are either a company B or a car = 26 + 16 - 15 = 27
The probability that randomly selected vehicle is either a company B or a car = 27/34 = 0.7941
d) The probability that randomly selected vehicle is a company A truck is 0.1471.
Total number of vehicles = 34
Number of Company A truck = 8 - 2 - 1 = 5
The probability that randomly selected vehicle is a company A truck = 5/34 = 0.1471
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