certain region of the country it is known that 7% of the population has a certain type of cancer. If the probability of a doctor correctly diagnosing a person with this cancer as having the disease is 0.96 (correct positive), and the probability of incorrectly diagnosing a person without cancer as having the disease is 0.07 (false positive), what is the probability that a person diagnosed as having cancer actually has the disease?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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MATH PROBABILITY AND STATISTICS, PLEASE ANSWER JUST IN 10 MINUTES, NOT ANYMORE

In a certain region of the country it is known that 7% of the population has a certain type of cancer. If the probability of a doctor correctly diagnosing a person with this cancer as having the disease is 0.96 (correct positive), and the probability of incorrectly diagnosing a person without cancer as having the disease is 0.07 (false positive), what is the probability that a person diagnosed as having cancer actually has the disease?

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