At least one of the answers above is NOT correct. It is estimated that approximately 8.27% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for diabetes will correctly diagnose 93.5% of all adults over 40 with diabetes as having the disease and incorrectly diagnoses 2.5% of all adults over 40 without diabetes as having the disease. a) Find the probability that a randomly selected adult over 40 does not have diabetes, and is diagnosed as having diabetes (such diagnoses are called "false positives"). 0.025 b) Find the probability that a randomly selected adult of 40 is diagnosed as having diabetes. 0.9173 c) Find the probability that a randomly selected adult over 40 actually has diabetes, given that he/she is diagnosed as not having diabetes (such diagnoses are called "false negatives"). 0.065 (Note: it will be helpful to first draw an appropriate tree diagram modeling the situation)
At least one of the answers above is NOT correct. It is estimated that approximately 8.27% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for diabetes will correctly diagnose 93.5% of all adults over 40 with diabetes as having the disease and incorrectly diagnoses 2.5% of all adults over 40 without diabetes as having the disease. a) Find the probability that a randomly selected adult over 40 does not have diabetes, and is diagnosed as having diabetes (such diagnoses are called "false positives"). 0.025 b) Find the probability that a randomly selected adult of 40 is diagnosed as having diabetes. 0.9173 c) Find the probability that a randomly selected adult over 40 actually has diabetes, given that he/she is diagnosed as not having diabetes (such diagnoses are called "false negatives"). 0.065 (Note: it will be helpful to first draw an appropriate tree diagram modeling the situation)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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0.025
0.025
incorrect
0.9173
0.9173
incorrect
0.065
0.065
incorrect
At least one of the answers above is NOT correct.
It is estimated that approximately 8.27% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for diabetes will correctly diagnose 93.5% of all adults over 40 with diabetes as
having the disease and incorrectly diagnoses 2.5% of all adults over 40 without diabetes as having the disease.
a) Find the probability that a randomly selected adult over 40 does not have diabetes, and is diagnosed as having diabetes (such diagnoses are called "false positives").
0.025
b) Find the probability that a randomly selected adult of 40 is diagnosed as not having diabetes.
0.9173
c) Find the probability
a randomly selec
adult over 40 actually
diabetes, given that he/she is diagnosed as not having diabetes (such diagnoses are called "false negatives").
0.065
(Note: it will be helpful to first draw an appropriate tree diagram modeling the situation)
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