Question: Recall Problem 5.1.11 where metal plate thicknesses are normally distributed with a mean of 4.3 mm and a standard deviation of 0.12 mm. (a) If

Recall Problem 5.1.11 where metal plate thicknesses are normally distributed with a mean of 4.3 mm and a standard deviation of 0.12 mm.
(a) If one metal plate is placed on top of another, what is the distribution of their combined thickness?
(b) What is the distribution of the average thickness of 12 metal plates?
(c) What is the smallest number of metal plates required in order for their average thickness to be between 4.25 and 4.35 mm with a probability of at least 99.7%?

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