A ferritin test is a popular test to measure a person's current iron stores. in women, ferritin is normally distributed with a mean of 89 ng/ml plus a standard deviation of 23 ng/ml. what is the probability that a woman has a ferritin value of 100 or less?

Question

Jeremiah Fleming

Mathematics

19 January, 10:27

A ferritin test is a popular test to measure a person's current iron stores. in women, ferritin is normally distributed with a mean of 89 ng/ml plus a standard deviation of 23 ng/ml. what is the probability that a woman has a ferritin value of 100 or less?

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Answers (1)

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Maleah Chen · Answer 1

Given:

μ = 89 ng/ml, population mean

σ = 23 ng/ml, population standard deviation

Random variable, x = 100

To test P (x < 100), calculate the z-score.

z = (x-μ) / σ = (100 - 89) / 23 = 0.4783

From standard tables, obtain

P (x < 100) = 0.6838 = 68.4%

Answer: 68.4%