full credit: You can answer the question in the box or upload a picture using Embed Image. Refer to the table which summarizes the results of testing for a certain disease. positive Test Results Negative Test Results subject has the disease 90 13 subject does not have a disease 16 200 1) A test subject is randomly selected, find the probability that the subject has negative test result and the subject does not have a disease. 2) A test subject is randomly selected, find the probability that the subject has positive test result or the subject has a disease. 3) A test subject is randomly selected and tested for the disease. What is the probability the subject has the disease given that the test result is positive? 4) If two subjects are randomly selected without replacement, find the probability that both have negative test result and does not have a disease?
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.
Show all your work for full credit: You can answer the question in the box or upload a picture using Embed Image.
Refer to the table which summarizes the results of testing for a certain disease.
| positive Test Results | Negative Test Results | |
| subject has the disease | 90 | 13 |
| subject does not have a disease | 16 | 200 |
1) A test subject is randomly selected, find the probability that the subject has negative test result and the subject does not have a disease.
2) A test subject is randomly selected, find the probability that the subject has positive test result or the subject has a disease.
3) A test subject is randomly selected and tested for the disease. What is the probability the subject has the disease given that the test result is positive?
4) If two subjects are randomly selected without replacement, find the probability that both have negative test result and does not have a disease?
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