The probability that a person has a certain disease is 0.03. Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually present, the probability that the medical diagnostic test will give a positive result (indicating that thedisease is present) is 0.88. If the disease is not actually present, the probability of a positive test result (indicating that the disease is present) is 0.01.a. If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the probability that the disease is actually present?b. If the medical diagnostic test has given a negative result (indicating that the disease is not present), what is the probability that the disease is not present?...a. The probability is(Round to three decimal places as needed.)b. The probability is(Round to three decimal places as needed.)

Given: P(disease) = 0.03 If the disease is actuallypresent, the probability that the medical…

Answered: The probability that a person has a…

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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A new medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.74. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.04. It is estimated that 14 % of the population who take this test have the disease.If the test administered to an individual is positive, what is the probability that the person actually has the disease?
Set D = {(x, y) ∈ R2: 0 ≤ x ≤ 1, 0 ≤ y ≤√x} and let (X, Y) be evenly distributed on D Calculate P (Y> X). Please explain so I understand to be able to solve similar kind of questions..
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
When snow and rainfall occur together, it is known as sleet. On any given day the probability that it rains is 0.6, the probability that it snows is 0.5 and the probability that it rains and snows is 0.20. Calculate the probabilty that it rains or it snows.
The probability that an electronic circuit board contains dirty particles is 0.01. Considering that the plates are independent, what is the probability that 125 plates will be analyzed until we find the first particle?
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The probability that a doctor correctly diagnoses a particular illness is 0.60. Given that the doctor makes and incorrect diagnosis, the probability that the patient enters a law suit is 0.90. What is the probability that the doctor makes an incorrect diagnosis and the patient sues?
Assume that 2% of the Brazilian population had dengue fever and that a test correctly identified the fever 95% of the time. Assume that a false positive occurred 5% of the time. If a person tested positive for the fever, what was the probability that the person actually had the fever?
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.
A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
The probability of an adverse reaction to a pneumonia shot is 0.15. Pneumonia shots are given to a group of 12 people. What is the probability that none of them will have an adverse reaction?

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