You run a factory that produces widgets (no, you'll never escape the widgets). Widget diameters are distributed normally, with a mean of 122mm and a standard deviation of 10mm. You take a random sample of 16 widgets off the factory floor.  What is the probability that this sample average is greater than 125? Round your answer to three decimal places, eg 0.192.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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You run a factory that produces widgets (no, you'll never escape the widgets). Widget diameters are distributed normally, with a mean of 122mm and a standard deviation of 10mm. You take a random sample of 16 widgets off the factory floor. 

What is the probability that this sample average is greater than 125? Round your answer to three decimal places, eg 0.192.

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