# The amount of warpage in a type of wafer used in the manufacture of integrated circuits has mean…

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

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

b. Find the 25th percentile of the sample mean.

c. How many wafers must be sampled so that the probability is 0.05 that the sample mean exceeds 1.305?

The time spent by a customer at a checkout counter has mean 4 minutes and standard deviation 2 minutes.

a. What is the probability that the total time taken by a random sample of 50 customers is less than 180 minutes?

b. Find the 30th percentile of the total time taken by 50 customers.

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