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A company produces scooters used by small businesses that find them convenient f

ID: 3051410 • Letter: A

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 21 52 73 Plant 2 65 62 127 Total 86 114 200 a. What is the probability a scooter was assembled at Plant 2? P(Plant 2)equals nothing (Type an integer or a decimal.) b. What is the probability that a scooter breakdown was due to a mechanical problem? P(mechanical)equals nothing (Type an integer or a decimal.) c. What is the probability that a scooter breakdown was due to an electrical problem and the scooter was assembled at Plant 1? P(electrical and Plant 1)equals nothing (Type an integer or a decimal.)

Explanation / Answer

a)   probability a scooter was assembled at Plant 2 =127/200=0.635

b)  probability that a scooter breakdown was due to a mechanical problem =114/200=0.57

c) probability that a scooter breakdown was due to an electrical problem and the scooter was assembled at Plant 1

=21/200 =0.105

electrical mechanical total plant 1 21 52 73 plant 2 65 62 127 total 86 114 200
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