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The radius of a steel ball-bearing manufactured by a metallurgy plant can be modeled as a...

The radius of a steel ball-bearing manufactured by a metallurgy plant can be modeled as a uniformly distributed random variable with expectation ?.? ?? and standard deviation ?88.?7 ?m . Calculate the variance associated with the volume of a ball-bearing. Assume that ball-bearings are spherical in shape. Suggest an alternative approach for computing variance, which is distinct from the expectation of squared deviations that you used for the first part of this question?

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Answer #1

Please find the solution as given below:

An alternate way can be to find all the possible radius in the distribution and then find the respective volume. Finally, find the variance in order to get the result.

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