2. For patients with a certain disease the amount of certain protein in the blood is nor- mally distributed with a mean of 180 and a standard deviation of 8.5. For patients without the disease the amount of that protein is normally distributed with a mean of 150 and a standard deviation of 7.5. (a) Where would you want the "Tested Positive" to start so that the probability of a person with the disease will not test positive is .0025? (2-decimal places) (b) Determine the probability of a false positive. (4 decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
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2. For patients with a certain disease the amount of certain protein in the blood is nor-
mally distributed with a mean of 180 and a standard deviation of 8.5. For patients
without the disease the amount of that protein is normally distributed with a mean of
150 and a standard deviation of 7.5.
(a) Where would you want the "Tested Positive" to start so that the probability of a
person with the disease will not test positive is .0025? (2-decimal places)
(b) Determine the probability of a false positive. (4 decimal places)
Transcribed Image Text:2. For patients with a certain disease the amount of certain protein in the blood is nor- mally distributed with a mean of 180 and a standard deviation of 8.5. For patients without the disease the amount of that protein is normally distributed with a mean of 150 and a standard deviation of 7.5. (a) Where would you want the "Tested Positive" to start so that the probability of a person with the disease will not test positive is .0025? (2-decimal places) (b) Determine the probability of a false positive. (4 decimal places)
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