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Use Bayes' Rule to Find the Indicated Probability

question 30

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Use Bayes' rule to find the indicated probability.
-The incidence of a certain disease on the island of Tukow is 4%.A new test has been developed to diagnose the disease.Using this test,91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive) .If a person tests positive,what is the probability that he or she actually has the disease?

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Definitions:

Premorbid Levels

Referring to the state of someone's psychological and physical health before the onset of a disease or disorder.

Perceptual Distortions

Alterations in perception leading to misinterpretation of environmental stimuli, often associated with psychological disorders.

Delirium

A mental state characterized by confusion, disordered speech, and hallucinations, often resulting from an illness or toxin exposure.

Fluctuating Levels

Variations in the intensity or quantity of something over a period of time, often applied to mood, hormones, or natural phenomena.

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