Question: The breaking strength (in kg/mm) for a certain type of fabric has mean 1.86 and standard deviation 0.27. A random sample of 80 pieces of

The breaking strength (in kg/mm) for a certain type of fabric has mean 1.86 and standard deviation 0.27. A random sample of 80 pieces of fabric is drawn.
a. What is the probability that the sample mean breaking strength is less than 1.8 kg/mm?
b. Find the 80th percentile of the sample mean breaking strength.
c. How large a sample size is needed so that the probability is 0.01 that the sample mean is less than 1.8?

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