A specific automotive part that a service station stocks in its inventory has an 8% chance of being defective.Suppose many cars come into the service station needing this part each week.What is the expected number of parts retrieved until the first defective?
A)8
B)12.5
C)10.5
D)15
E)20

Question

Quizplus · Accepted Answer

The expected number of parts retrieved until the first defective part is found is given by the reciprocal of the probability of finding a defective part, which is 1/0.08 = 12.5. This is based on the geometric distribution's expectation formula, E(X) = 1/p, where p is the probability of success (in this case, finding a defective part).

A Specific Automotive Part That a Service Station Stocks in Its