Referring to Parco\'s O-ring in the above question, it is determined that the me

Question

Referring to Parco's O-ring in the above question, it is determined that the mean and standard deviation of this O-ring's dimensions are determined to be 25.88 (mean) and 0.08 (standard deviation). What is the probability that a randomly selected O-ring will have an inner diameter, x, that is out of specification? Assume that the process is in control and that the population of all O-rings is normally distributed and use the Standard Normal Table (not Microsoft Excel functions) to arrive at the correct answer O 0.0024 O 0.6667 0.0001 0.0012 0.0058 0.0086

Explanation / Answer

According to 68-95-99.7 rule..

There are 99.76% data points lies within the mean +/- 3*std dev interval.

That implies that probability that process that randomly selected o-ring will have inner diameter that is out of specifications is 1- 0.9976=0.0024

Answer is 0.0024

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