During a manufacturing process 15 units are randomly selected each day from the production line to check the percent defective. From historical information it is known thatthe probability of a defective unit is 0.05. Any time that two or more defectives are foundin the sample of 15, the process is stopped. This procedure is used to provide a signal incase the probability of a defective has increased. (a) What is the probability that on any given day the production process will be stopped? (Assume 5% defective.) (b) Suppose that the probability of a defective has increased to 0.07. What is the probability that on any given day the production process will not be stopped?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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During a manufacturing process 15 units are randomly selected each day from the
production line to check the percent defective. From historical information it
is known thatthe probability of a defective unit is 0.05. Any time that two or
more defectives are foundin the sample of 15, the process is stopped. This
procedure is used to provide a signal incase the probability of a defective has
increased. (a) What is the probability that on any given day the production
process will be stopped? (Assume 5% defective.) (b) Suppose that the probability
of a defective has increased to 0.07. What is the probability that on any
given day the production process will not be stopped?
Transcribed Image Text:During a manufacturing process 15 units are randomly selected each day from the production line to check the percent defective. From historical information it is known thatthe probability of a defective unit is 0.05. Any time that two or more defectives are foundin the sample of 15, the process is stopped. This procedure is used to provide a signal incase the probability of a defective has increased. (a) What is the probability that on any given day the production process will be stopped? (Assume 5% defective.) (b) Suppose that the probability of a defective has increased to 0.07. What is the probability that on any given day the production process will not be stopped?
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