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The diameters of ball bearings are distributed normally. The mean diameter is 125 mm and the standard deviation is 3 mm. Find the probability that the diameter of a selected bearing is greater than 127 mm. Round your answer to four decimal places.

The Diameters Of Ball Bearings Are Distributed Normally The Mean Diameter Is 125 Mm And The Standard Deviation Is 3 Mm Find The Probability That The Diameter Of class=

Sagot :

Explanation

Given that the mean diameter is 125 mm and the standard deviation is 3 mm. We can find the probability that the diameter of a selected bearing is greater than 127 mm below.

We will first find the z score of the given value.

[tex]z=\frac{x-\mu}{\sigma}=\frac{127-125}{3}=\frac{2}{3}=0.66667[/tex]

Using the z score calculator,

[tex]P\left(x>127\right)=0.2525[/tex]

Answer: 0.2525

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