It is estimated that approximately 8.12% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for diabetes will correctly diagnose 94.5% of all adults over with diabetes as having the disease and incorrectly diagnoses 2.5% of all adults over without diabetes as having the disease. a) Find the probability that a randomly selected adult over does not have diabetes, and is diagnosed as having diabetes (such diagnoses are called "false positives"). b) Find the probability that a randomly selected adult of is diagnosed as not having diabetes. c) Find the probability that a randomly selected adult over actually has diabetes, given that he/she is diagnosed as not having diabetes (such diagnoses are called "false negatives").

It is estimated that approximately 8.12% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for diabetes will correctly diagnose 94.5% of all adults over with diabetes as having the disease and incorrectly diagnoses 2.5% of all adults over without diabetes as having the disease. a) Find the probability that a randomly selected adult over does not have diabetes, and is diagnosed as having diabetes (such diagnoses are called "false positives"). b) Find the probability that a randomly selected adult of is diagnosed as not having diabetes. c) Find the probability that a randomly selected adult over actually has diabetes, given that he/she is diagnosed as not having diabetes (such diagnoses are called "false negatives").

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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