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The Number of Defects in a Random Sample of 200

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The number of defects in a random sample of 200 parts produced by a machine is binomially distributed with p = .03. Based on this information, the expected number of defects in the sample is 6.


Definitions:

Long-run Average Total Cost

The per-unit cost of production when all inputs, including those typically fixed, can be varied, showing economies of scale if downward sloping.

Economies of Scale

Cost advantages reaped by companies when production becomes efficient, as the average cost of production falls with increasing output.

Constant Returns to Scale

A situation in production where increasing the input of all resources by any proportion yields an increase in output by the same proportion.

Long-run Average Total Cost

The per unit cost of production when all inputs, including capital, are variable, assuming optimal efficiency.

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