Question

In: Statistics and Probability

If bolt thread length is normally distributed, what is the probability that the thread length of...

If bolt thread length is normally distributed, what is the probability that the thread length of a randomly selected bolt is

(a) Within 1.3 SDs of its mean value?


(b) Farther than 1.5 SDs from its mean value?


(c) Between 1 and 2 SDs from its mean value?

You may need to use the appropriate table in the Appendix of Tables to answer this question.

Solutions

Expert Solution

Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(1.3, TRUE)" & "=NORM.S.DIST(-1.3, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(-1.5, TRUE)" & "=NORM.S.DIST(1.5, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(2, TRUE)" & "=NORM.S.DIST(1, TRUE)" to find the probability.


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