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 13\% defectives. (Assume that the daily output is a large number of items.) If on a given day the machine is producing only 10\% defective items, use R and the normal approximation to the binomial distribution to calculate the probability that it will be shut down. (Round your answer to four decimal places.)
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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 20 items is selected from the machine. If the machine produces 5% defectives, find the probability that the sample will contain at least three defectives, by using the following methods: (a) the normal approximation to the binomial (Round your answer to four decimal places.)
Adi S.
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