Question

serious disease occurs with probability 0.0007 in a certain population. If you have the disease, the test for the disease is 96% accurate. If you do not have the disease, the test is 92% accurate. If you test positive, what is the probability that you have the disease?

Name: serious disease occurs with probability 00007 in a certain population if you have the disease the test for the disease is 96 accurate if you do not have the disease the test is 92 accurate i 75385
Uploaded: 2023-07-22T23:02:14-08:00
Duration: 3 min 30 s
Channel: Adi S
Description: serious disease occurs with probability 00007 in a certain population if you have the disease the test for the disease is 96 accurate if you do not have the disease the test is 92 accurate i 75385

          serious disease occurs with probability 0.0007 in a certain population. If you have the disease, the test for
the disease is 96% accurate. If you do not have the disease, the test is 92% accurate. If you test positive,
what is the probability that you have the disease?

Added by Nuria M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

07/22/2023

Step 1

Let's denote: - \( D \): the event of having the disease - \( T^+ \): the event of testing positive We need to find \( P(D | T^+) \). Show more…

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serious disease occurs with probability 0.0007 in a certain population. If you have the disease, the test for the disease is 96% accurate. If you do not have the disease, the test is 92% accurate. If you test positive, what is the probability that you have the disease?