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One of the assumptions underlying the theory of control
Chapter 3, Problem 75E(choose chapter or problem)
One of the assumptions underlying the theory of control charting (see Chapter 16) is that successive plotted points are independent of one another. Each plotted point can signal either that a manufacturing process is operating correctly or that there is some sort of malfunction. Even when a process is running correctly, there is a small probability that a particular point will signal a problem with the process. Suppose that this probability is .05. What is the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly? Answer this question for 25 successive points.
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QUESTION:
One of the assumptions underlying the theory of control charting (see Chapter 16) is that successive plotted points are independent of one another. Each plotted point can signal either that a manufacturing process is operating correctly or that there is some sort of malfunction. Even when a process is running correctly, there is a small probability that a particular point will signal a problem with the process. Suppose that this probability is .05. What is the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly? Answer this question for 25 successive points.
ANSWER:Answer: Step 1 of 1 Let F be the event called ‘Problem’ Let X be the number of failures. P(F) = 0.05 1 P(F ) = 0.95 The probability that at least one of 10 successive points indicates a problem when in fact the proc