It is estimated that 0.5 % of the population of a city has certain disease. A diagnostic test has a probability 0.95 of giving a positive result when applied to a person has the disease, and a probability 0.10 of giving a false positive result. Suppose that the test is now done to a person from the city. Calculate the following probabilities: (a) The probability that the test result will be positive; (b) The probability that given a positive result, the person has the disaese; (c) The probability that given a negative result, the person does not have the disease;
It is estimated that 0.5 % of the population of a city has certain disease. A diagnostic test has a probability 0.95 of giving a positive result when applied to a person has the disease, and a probability 0.10 of giving a false positive result. Suppose that the test is now done to a person from the city. Calculate the following probabilities: (a) The probability that the test result will be positive; (b) The probability that given a positive result, the person has the disaese; (c) The probability that given a negative result, the person does not have the disease;
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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It is estimated that 0.5 % of the population of a city has certain disease. A diagnostic test has
a probability 0.95 of giving a positive result when applied to a person has the disease, and a
probability 0.10 of giving a false positive result. Suppose that the test is now done to a person
from the city.
Calculate the following probabilities:
(a) The probability that the test result will be positive;
(b) The probability that given a positive result, the person has the disaese;
(c) The probability that given a negative result, the person does not have the disease;
(d) The probability that the person will be misclassified
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