(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) What is the probability that exactly 4 of 5 heavy users are HIV positive? (d) What is the probability that at least 4 of 5 heavy users are HIV positive?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![A study considered risk factors for HIV infections among intravenous drug uses.
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) What is the probability that exactly 4 of 5 heavy users are HIV positive?
(d) What is the probability that at least 4 of 5 heavy users are HIV positive?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb12ec1f-ce89-4acb-b846-c9501674a7c9%2Fc918f3df-f0c8-4ad5-8300-11c857e5aa74%2Fbta1ubm_processed.jpeg&w=3840&q=75)
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