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 =
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Dear visitor
it is very bad idea to post more than one problem in one package.
Memorize the rule "ONE and ONLY one problem per post",
and always follow this rule.
Never deviate from this rule, and you will be fine. -
much better than if you violate it.
|
|
|
