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The amount of warpage in a type of wafer used in the manufacture of integrated circuits...

The amount of warpage in a type of wafer used in the manufacture of integrated circuits has a mean of 1.3mm and a standard deviation of 0.1mm. A random sample of 200 wafers is drawn.

a) What is the probability that the sample mean warpage exceeds 1.305mm?

b) How many wafers must be sampled so that the probability is 0.05 that the sample mean exceeds 1.305mm?

c) What is the probability that the sample total warpage exceeds 200mm?

d) Let X-bar be the sample mean. If P (X-bar > x) = 0.9357, find x.

Math   Statistics-And-Probability   
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