The efficiency of a certain type of pump has a mean of 72% and a standard deviation

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The efficiency of a certain type of pump has a mean of 72% and a standard deviation of 3.2%. (a)

Assuming a normal population, what is the probability of a single pump selected at random having an efficiency of 75% or greater?

(b) What is the probability that a sample of 3 pumps drawn at random will have a mean efficiency greater than 75%?

(c) Explain the difference in the probabilities of parts

(a) and (b).

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