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Find the Indicated Probability

question 62

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Find the indicated probability.
-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. What is the probability that the diameter of a randomly selected pencil
Will be less than 0.285 inches?


Definitions:

Carbonyl

A functional group characterized by a carbon atom double-bonded to an oxygen atom, commonly found in aldehydes, ketones, carboxylic acids, and amides.

NMR Spectroscopy

A spectroscopic method that utilizes the magnetic characteristics of specific atomic nuclei to identify the physical and chemical properties of atoms or the molecules they are part of.

Cyclohexane

A saturated hydrocarbon with the formula C6H12, featuring a ring structure of six carbon atoms.

Axial

"Axial" refers to positions or orientations along the axis of a molecule, usually in cyclic compounds, opposed to equatorial positions which are off the axis.

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