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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.8 - Problem 12e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.8 - Problem 12e

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# Someone suggests that the lifetime T (in days) of a ISBN: 9780073401331 38

## Solution for problem 12E Chapter 4.8

Statistics for Engineers and Scientists | 4th Edition

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Problem 12E

Someone suggests that the lifetime T (in days) of a certain component can be modeled with the Weibull distribution with parameters $$\alpha$$ = 3 and $$\beta$$ = 0.01.

a. If this model is correct, what is P(T ≤ 1)?

b. Based on the answer to part (a), if the model is correct, would one day be an unusually short lifetime? Explain.

c. If you observed a component that lasted one day, would you find this model to be plausible? Explain.

d. If this model is correct, what isP(T ≤ 90)?

e. Based on the answer to part (d), if the model is correct, would 90 days be an unusually short lifetime? An unusually long lifetime? Explain.

f. If you observed a component that lasted 90 days, would you find this model to be plausible? Explain.

Equation transcription:  Text transcription:

\alpha

\beta

Step-by-Step Solution:

Solution:

Step 1 of 4:

The lifetime  T of a certain component modeled with the weibull distribution with parameters and = 0.01.

We have to find

1.  P( , if the model is correct.
2. Is one day be an unusually short lifetime, if the model is correct.
3. Is this model  is reasonable according to the observation.
4. P( , if the model is correct.
5.  Is 90 days be an unusually short lifetime or not.
6. Is this model is reasonable according to the observation.

Step 2 of 4

Step 3 of 4

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