**Understanding Disease Testing Probabilities**A laboratory test for detecting a specific disease produces certain results based on different scenarios. Here are the probabilities associated with the test results:- The test shows a positive result for 5% of people who do not have the disease (false positive rate).- The test shows a negative result for 0.3% of people who have the disease (false negative rate).- Studies indicate that this disease affects approximately 2% of the population.### Problems to Solve:**a. Probability of Testing Positive**Determine the probability that a randomly selected person would test positive for this disease. Formulate and demonstrate your approach.**b. Probability of a False Positive**Calculate the probability that a person who tests positive actually does not have the disease. Provide a detailed explanation of your method.

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15. A laboratory test for the detection of a certain disease gives a positive result 5 percent of the time for people who do not have the disease. The test gives a negative result 0.3 percent of the time for people who have the disease. Large-scale studies have shown that the disease occurs in about 2 percent of the population. a. What is the probability that a person selected at random would test positive for this disease? Show your work. b. What is the probability that a person selected at random who tests positive for the disease does not have the disease? Show your work.

15. A laboratory test for the detection of a certain disease gives a positive result 5 percent of the time for people who do not have the disease. The test gives a negative result 0.3 percent of the time for people who have the disease. Large-scale studies have shown that the disease occurs in about 2 percent of the population. a. What is the probability that a person selected at random would test positive for this disease? Show your work. b. What is the probability that a person selected at random who tests positive for the disease does not have the disease? Show your work.

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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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

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**Understanding Disease Testing Probabilities**

A laboratory test for detecting a specific disease produces certain results based on different scenarios. Here are the probabilities associated with the test results:

- The test shows a positive result for 5% of people who do not have the disease (false positive rate).
- The test shows a negative result for 0.3% of people who have the disease (false negative rate).
- Studies indicate that this disease affects approximately 2% of the population.

### Problems to Solve:

**a. Probability of Testing Positive**

Determine the probability that a randomly selected person would test positive for this disease. Formulate and demonstrate your approach.

**b. Probability of a False Positive**

Calculate the probability that a person who tests positive actually does not have the disease. Provide a detailed explanation of your method.

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