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Statistics / Probability and Statistical Inference 9 / Chapter 1.3 / Problem 1.3-1

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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

Chapter 1, Problem 1.3-1

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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: B1: Carry B2: Do Not AIDS Virus Carry Aids Virus Totals A1: Test Positive 4,885 73,630 78,515 A2: Test Negative 115 921,370 921,485 Totals 5,000 995,000 1,000,000 If one of these 1 million people is selected randomly, find the following probabilities: (a) P(B1), (b) P(A1), (c) P(A1 | B2), (d) P(B1 | A1). (e) In words, what do parts (c) and (d) say?

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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: B1: Carry B2: Do Not AIDS Virus Carry Aids Virus Totals A1: Test Positive 4,885 73,630 78,515 A2: Test Negative 115 921,370 921,485 Totals 5,000 995,000 1,000,000 If one of these 1 million people is selected randomly, find the following probabilities: (a) P(B1), (b) P(A1), (c) P(A1 | B2), (d) P(B1 | A1). (e) In words, what do parts (c) and (d) say?

ANSWER:

Step 1 of 6

Given a table about the ELIZA test of million people as follows:

	: Carry AIDS Virus	: Do Not Carry AIDS Virus	Totals
: Test Positive
: Test Negative
Totals

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