SOLUTION: 1. A biomedical research company produces 50% of its insulin at a plant in Kansas City, and the remainder is produced at a plant in Jefferson City. Quality control has shown that 1

Question 1165959: 1. A biomedical research company produces 50% of its insulin at a plant in Kansas City, and the remainder is produced at a plant in Jefferson City. Quality control has shown that 1.3% of the insulin produced at the plant in Kansas City is defective, while 0.5% of the insulin produced at the plant in Jefferson City is defective. What is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective?
2.A diagnostic test for disease X correctly identifies the disease 86% of the time. False positives occur 11%. It is estimated that 5.7% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.)
The percentage chance that, given a negative result, the person does not have disease X =
%
The percentage chance that, the person will be misclassified =
%
3.A diagnostic test for disease X correctly identifies the disease 89% of the time. False positives occur 13%. It is estimated that 2.99% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.)
The percentage chance that the test will be positive =
%
The probability that, given a positive result, the person has disease X =
%
Found 2 solutions by CPhill, ikleyn:
Answer by CPhill(2189) (Show Source): You can put this solution on YOUR website!
1. A biomedical research company produces 50% of its insulin at a plant in Kansas City, and the remainder is produced at a plant in Jefferson City. Quality control has shown that 1.3% of the insulin produced at the plant in Kansas City is defective, while 0.5% of the insulin produced at the plant in Jefferson City is defective. What is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective?
2.A diagnostic test for disease X correctly identifies the disease 86% of the time. False positives occur 11%. It is estimated that 5.7% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.)
The percentage chance that, given a negative result, the person does not have disease X =
%
The percentage chance that, the person will be misclassified =
%
3.A diagnostic test for disease X correctly identifies the disease 89% of the time. False positives occur 13%. It is estimated that 2.99% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.)
The percentage chance that the test will be positive =
%
The probability that, given a positive result, the person has disease X =
%
Answer by ikleyn(53763) (Show Source): You can put this solution on YOUR website!
.
1. A biomedical research company produces 50% of its insulin at a plant in Kansas City, and the remainder is produced at a plant in Jefferson City. Quality control has shown that 1.3% of the insulin produced at the plant in Kansas City is defective, while 0.5% of the insulin produced at the plant in Jefferson City is defective. What is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective?
2.A diagnostic test for disease X correctly identifies the disease 86% of the time. False positives occur 11%. It is estimated that 5.7% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.)
The percentage chance that, given a negative result, the person does not have disease X =

The percentage chance that, the person will be misclassified =

3.A diagnostic test for disease X correctly identifies the disease 89% of the time. False positives occur 13%. It is estimated that 2.99% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.)
The percentage chance that the test will be positive =

The probability that, given a positive result, the person has disease X =
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