A common test for AIDS is called the ELISA (enzyme-linked

Chapter 1, Problem 1E

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QUESTION:

A common test for AIDS is called the ELISA (enzyme-linked immunosorbent assay) test. Among 1 million people who are given the ELISA test, we can expect results similar to those given in the following table:

         

If one of these 1 million people is selected randomly, find the following probabilities: (a) \(P\left(B_{1}\right)\), (b) \(P\left(A_{1}\right)\), (c) \(P\left(A_{1} \mid B_{2}\right)\), (d) \(P\left(B_{1} \mid A_{1}\right)\). (e) In words, what do parts (c) and (d) say?

Equation Transcription:

Text Transcription:

P(B_1)

P(A_1)

P(A_1∣B_2)

P(B_1∣A_1)

Questions & Answers

QUESTION:

A common test for AIDS is called the ELISA (enzyme-linked immunosorbent assay) test. Among 1 million people who are given the ELISA test, we can expect results similar to those given in the following table:

         

If one of these 1 million people is selected randomly, find the following probabilities: (a) \(P\left(B_{1}\right)\), (b) \(P\left(A_{1}\right)\), (c) \(P\left(A_{1} \mid B_{2}\right)\), (d) \(P\left(B_{1} \mid A_{1}\right)\). (e) In words, what do parts (c) and (d) say?

Equation Transcription:

Text Transcription:

P(B_1)

P(A_1)

P(A_1∣B_2)

P(B_1∣A_1)

ANSWER:

Step 1 of 6:

Given

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