A company produces scooters used by small businesses, such as pizza parlors, 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 file Scooters contains a random sample of 200 breakdowns. Use the data in the file to find the following probabilities.
a. If a scooter was assembled in the Tyler plant, what is the probability its breakdown was due to an electrical problem?
b. Is the probability of a scooter having a mechanical problem independent of the scooter being assembled at the Lincoln plant
c. If mechanical problems are assigned a cost of $75 and electrical problems are assigned a cost of $100, how much cost would be budgeted for the Lincoln and Tyler plants next year if a total of 500 scooters were expected to be returned for repair?