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Mathematics, 15.04.2020 04:13 keke9638

A machine is shut down for repairs if a random sample of 100 items selected from the daily output of the machine reveals at least 15% defectives. (Assume that the daily output is a large number of items.) Suppose that a random sample of 15 items is selected from the machine.
If the machine produces 5% defectives, find the probability that the sample will contain at least two defectives, by using the following methods:
(a) The normal approximation to the binomial
(b) The exact binomial tables

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