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Virty [35]
2 years ago
15

One of the assumptions underlying the theory of control charting is that successive plotted points are independent of one anothe

r. 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 0.07. What is the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly
Mathematics
1 answer:
aksik [14]2 years ago
4 0

Answer:

P(at least 1 wrong in 10) =0.5160

Step-by-step explanation:

Let A be the event  that there is a problem in the proces. Then the probability of problem with the process is P ( A) = 0.07

Let B be the event  that the process is without the problem. Then the probability of without problem is P ( B) = 0.93

Now we want to find the 10 successive points of event B. Since the events are independent we can find this as

P(B)+P(B)+P(B)+P(B)+P(B)+P(B)+P(B)+P(B)+P(B)+P(B)

or

P(B)^ 10= .93^10=0.48398

As we have to calculate at least 1 in 10 then we will subtract it from 1.

P(at least 1 wrong in 10) = = 1 - .93^10 =1- 0.48398=0.5160

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Step-by-step explanation:

These equations are in the form

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Answer:

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Step-by-step explanation:

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