Question

A company produces scooters used by small businesses that find them convenient for making short deliveries. The company is notified whenever a scooter breaks​ down, and the problem is classified as being either mechanical or electrical. The company then matches the scooter to the plant where it was assembled. The data table to the right contains a random sample of 200 breakdowns. Use the data file and the relative frequency assessment method to complete parts a through c.			Electrical	Mechanical	Total
		Plant 1	27	40	67
		Plant 2	66	67	133
		Total	93	107	200

a. What is the probability a scooter was assembled at Plant 2​? p plant 2

b. What is the probability that a scooter breakdown was due to an electrical ​problem? p(electrical)

c. What is the probability that a scooter breakdown was due to a mechanical problem and the scooter was assembled at Plant 2​? ​P(mechanical and Plant 2​)

​(Type an integer or a​ decimal.)

Answer 1

Given data Electrical Mechanical Total Plant 1 27 40 67 Plant a 66 67 133 Total 93 107 200 a ) Probability of a scooter assembled at plant 2 P(plant 2) = No.of scooters assembled at plant2 No. of swoters assembled at planti and plant 2 133 200 0.665 bi Probability that a scooter breakdown was due to electrical problem an plelectrical) = Scooters breakdown dueto electrical Scooters breakdown due to electrical and mechanical Scooters breakdown due to electrical problem 27+66 93 Scooters break down due to electrical and mechanical problem 27+66+40 +67 = 93 +107 = 200 : plelectrical) = 93 200 = 0.465 (©) Probability that a scooter breakdown was due to mechanical and the scooter was essembled at plant a Plmechanical and plant 2) No. of swoters breakdown due to mechanical problem and assembled at plant 2 No. of scooters breakdown due to mechanical and electrical problem which were assembled at planta 67 67 133 67 +66 0.50376 Scanned with CamScanner