# Question

According to major league baseball rules, the ball must weigh between 5 and 5.25 ounces. A factory produces baseballs whose weights are approximately normally distributed, with mean 5.11 ounces and standard deviation 0.062

ounce.

(a) What proportion of the baseballs produced by this factory are too heavy for use by major league baseball?

(b) What proportion of the baseballs produced by this factory are too light for use by major league baseball?

(c) What proportion of the baseballs produced by this factory can be used by major league baseball?

(d) If 8000 baseballs are ordered, how many baseballs should be manufactured, knowing that some will need to be discarded?

ounce.

(a) What proportion of the baseballs produced by this factory are too heavy for use by major league baseball?

(b) What proportion of the baseballs produced by this factory are too light for use by major league baseball?

(c) What proportion of the baseballs produced by this factory can be used by major league baseball?

(d) If 8000 baseballs are ordered, how many baseballs should be manufactured, knowing that some will need to be discarded?

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