To start this problem you'll find it useful to draw a tree similar to the one in the picture. Your probabilities will differ from those shown in the picture. 80 .00s 995 HR not HR .04 96 HR=high risk Four percent of the people in a certain city are in a high risk group for HIV infection, and 6% of the people in this high risk group are HIV positive. However, only 0.7% of the people who are not in the high risk group are HIV positive. (Hint: Pay special attention when converting percentages into a decimals in this problem.) Answer the following questions. (Give your answers correct to five decimal places.) (a) What is the probability that a randomly chosen person from this city is HIV positive? (b) What is the probability that a randomly chosen person from this city is both in the high risk group AND is HIV positive? (c) What is the probability that a randomly chosen person from this city is in the high risk group OR is HIV positive OR is both? (d) If you know that a specific person is HIV positive, what is the conditional probability that this person is in the high risk group?

To start this problem you'll find it useful to draw a tree similar to the one in the picture. Your probabilities will differ from those shown in the picture. 80 .00s 995 HR not HR .04 96 HR=high risk Four percent of the people in a certain city are in a high risk group for HIV infection, and 6% of the people in this high risk group are HIV positive. However, only 0.7% of the people who are not in the high risk group are HIV positive. (Hint: Pay special attention when converting percentages into a decimals in this problem.) Answer the following questions. (Give your answers correct to five decimal places.) (a) What is the probability that a randomly chosen person from this city is HIV positive? (b) What is the probability that a randomly chosen person from this city is both in the high risk group AND is HIV positive? (c) What is the probability that a randomly chosen person from this city is in the high risk group OR is HIV positive OR is both? (d) If you know that a specific person is HIV positive, what is the conditional probability that this person is in the high risk group?

Name: To start this problem you'll find it useful to draw a tree similar to
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Description: To start this problem you'll find it useful to draw a tree similar to the one in the picture. Your probabilities will differ from those shown in the picture..2080.005995HRnot HR.0496 HR=high riskFour percent of the people in a certain city are in a

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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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

To start this problem you'll find it useful to draw a tree similar to the one in the picture. Your probabilities will differ from those shown in the picture.
.20
80
.005
995
HR
not HR
.04
96 HR=high risk
Four percent of the people in a certain city are in a high risk group for HIV infection, and 6% of the people in this high risk group are HIV positive. However, only 0.7% of the people who are not in the high risk group are HIV positive. (Hint: Pay special
attention when converting percentages into a decimals in this problem.)
Answer the following questions. (Give your answers correct to five decimal places.)
(a) What is the probability that a randomly chosen person from this city is HIV positive?
(b) What is the probability that a randomly chosen person from this city is both in the high risk group AND is HIV positive?
(c) What is the probability that a randomly chosen person from this city is in the high risk group OR is HIV positive OR is both?
(d) If you know that a specific person is HIV positive, what is the conditional probability that this person is in the high risk group?

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