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At a computer manufacturing company, the actual size of computer chips is normally dis- tributed with...

At a computer manufacturing company, the actual size of computer chips is normally dis- tributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeters. A random sample of 12 computer chips is taken.

(a) What is the probability that the sample mean will be between 0.99 and 1.01 centimeters?

(b) What is the probability that the sample mean will be below 0.95 centimeters?

(c) Above what value do 2.5% of the sample means fall?

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