3. (Rosner book – Page 110, Q: Infectious Disease) A study considered risk factors of HIV infection among intravenous drug users. It found that 40% of users who had < 100 injections per month (light users) and 55% of users who had > 100 injections per month (heavy users) were HIV positive. a. What is the probability that exactly 3 of 5 light users are HIV positive? b. What is the probability that at least 3 of 5 light users are HIV positive? c. Suppose we have a group of 10 light users and 10 heavy users. What is the probability that exactly 3 of the 20 users are HIV positive?
3. (Rosner book – Page 110, Q: Infectious Disease) A study considered risk factors of HIV infection among intravenous drug users. It found that 40% of users who had < 100 injections per month (light users) and 55% of users who had > 100 injections per month (heavy users) were HIV positive. a. What is the probability that exactly 3 of 5 light users are HIV positive? b. What is the probability that at least 3 of 5 light users are HIV positive? c. Suppose we have a group of 10 light users and 10 heavy users. What is the probability that exactly 3 of the 20 users are HIV positive?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:3. (Rosner book – Page 110, Q: Infectious Disease) A study considered risk factors of HIV infection among
intravenous drug users. It found that 40% of users who had < 100 injections per month (light users) and 55%
of users who had > 100 injections per month (heavy users) were HIV positive.
a. What is the probability that exactly 3 of 5 light users are HIV positive?
b. What is the probability that at least 3 of 5 light users are HIV positive?
c. Suppose we have a group of 10 light users and 10 heavy users. What is the probability that exactly 3
of the 20 users are HIV positive?
d. What is the probability that at least 4 of the 20 users are HIV positive?
e. Is the distribution of number of HIV positive among the 20 users binomial? Why or why not?
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