Question

The lengths of plate glass parts are measured to the nearest tenth of a millimeter. The lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.1, and continuing through 590.8. Determine the mean of the lengths. Mean (in tenths of millimeters) Round your answer to two decimal places (e.g. 98.76).

Answer 1

The mean of the lengths is 0.35 tenths of millimeters

Explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and it's mean is given by:

`M = (a+b)/(2)`

The lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.1, and continuing through 590.8.

This means that
`a = 0, b = 590.8 - 590.1 = 0.7`

So, the mean is:

`M = (a+b)/(2) = (0 + 0.7)/(2) = 0.35`

The mean of the lengths is 0.35 tenths of millimeters