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The Diameters of Pencils Produced by a Certain Machine Are

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Short Answer

The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. In a random sample of 460 pencils, approximately how many would you expect to have a diameter less than 0.293 inches?


Definitions:

Mean

The average of a set of numerical values, calculated by summing them up and dividing by the number of values.

Deviation

In statistics, it refers to the difference between the observed value and the mean of a dataset, indicating how much the data points diverge from the average.

Skewness

A measure of the asymmetry of the probability distribution of a real-valued random variable.

Median

The middle value in a data set when the values are arranged in ascending or descending order.

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