Question: The weight of a small candy is normally distributed with a mean of 0.1 ounce and a standard deviation of 0.01 ounce. Suppose that 16

The weight of a small candy is normally distributed with a mean of 0.1 ounce and a standard deviation of 0.01 ounce. Suppose that 16 candies are placed in a package and that the weights are independent.
(a) What are the mean and variance of package net weight?
(b) What is the probability that the net weight of a package is less than 1.6 ounces?
(c) If 17 candies are placed in each package, what is the probability that the net weight of a package is less than 1.6 ounces?

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