Medical cases histories indicate that different illnesses may produce identical symptoms. Suppose a particular set of symptoms, “H” occurs only with probabilities 0.01, 0.005 and 0.02, respectively. The probability of developing the symptoms H, given illness A, B and C are 0.90, 0.95 and 0.75, respectively. Assuming that an ill person shows symptoms H, what is the probability that a person has illness A?
Medical cases histories indicate that different illnesses may produce identical symptoms. Suppose a particular set of symptoms, “H” occurs only with probabilities 0.01, 0.005 and 0.02, respectively. The probability of developing the symptoms H, given illness A, B and C are 0.90, 0.95 and 0.75, respectively. Assuming that an ill person shows symptoms H, what is the probability that a person has illness A?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 8CR
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Medical cases histories indicate that different illnesses may produce
identical symptoms. Suppose a particular set of symptoms, “H” occurs
only with probabilities 0.01, 0.005 and 0.02, respectively. The
of developing the symptoms H, given illness A, B and C are 0.90, 0.95 and
0.75, respectively. Assuming that an ill person shows symptoms H, what is
the probability that a person has illness A?
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