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A ferritin test is a popular test to measure a person's current iron stores. In women, ferritin is approximately normally distributed with a mean of

A ferritin test is a popular test to measure a person's current iron stores. In women, ferritin is approximately normally distributed with a mean of 89 ng/mL and a standard deviation of 23 ng/mL.

a) What is the probability that a woman has a ferritin value of 100 or less?

b) If a woman has a ferritin of 140, what percentile is this?

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