A medical laboratory uses three machines (named M1, M2, and M3, respectively) to measure prostate-specific antigen (PSA) levels in selected blood samples from adult men; Elevated PSA levels have been associated with the presence of prostate cancer. Suppose the machine M1 has a 0.01 probability of giving an incorrect PSA level, that the M2 machine has a 0.02 probability of give an incorrect PSA level and the M3 machine has 0.03 probability of giving a PSA level incorrect. Also, suppose the M1 machine performs 20% of the PSA analyzes done by this lab doctor, that the M2 machine performs 50% of the PSA analyses, and that the M3 machine performs 30% of the PSA analyses. PSA (a) Find the probability that a PSA analysis performed by this medical laboratory is performed correctly. (b) Given that a given PSA analysis was performed incorrectly, what is the value of the probability of that this PSA analysis was performed by the M1 machine or by the M2 machine?

A medical laboratory uses three machines (named M1, M2, and M3, respectively) to measure prostate-specific antigen (PSA) levels in selected blood samples from adult men; Elevated PSA levels have been associated with the presence of prostate cancer. Suppose the machine M1 has a 0.01 probability of giving an incorrect PSA level, that the M2 machine has a 0.02 probability of give an incorrect PSA level and the M3 machine has 0.03 probability of giving a PSA level incorrect. Also, suppose the M1 machine performs 20% of the PSA analyzes done by this lab doctor, that the M2 machine performs 50% of the PSA analyses, and that the M3 machine performs 30% of the PSA analyses. PSA (a) Find the probability that a PSA analysis performed by this medical laboratory is performed correctly. (b) Given that a given PSA analysis was performed incorrectly, what is the value of the probability of that this PSA analysis was performed by the M1 machine or by the M2 machine?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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