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).

Respuesta :

Answer:

The mean of the lengths is 0.35 tenths of millimeters

Step-by-step 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:

[tex]M = \frac{a+b}{2}[/tex]

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 [tex]a = 0, b = 590.8 - 590.1 = 0.7[/tex]

So, the mean is:

[tex]M = \frac{a+b}{2} = \frac{0 + 0.7}{2} = 0.35[/tex]

The mean of the lengths is 0.35 tenths of millimeters

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