Medical Case Histories Indicate That Different Illnesses May Produce Identical

question 3

Short Answer

Medical case histories indicate that different illnesses may produce identical symptom. Suppose a particular set of symptoms, which we will denote as event H, occurs only when any one of these illnesses: A, B, or C occurs. (For the sake of simplicity, we will assume that illnesses A, B, and C are mutually exclusive.) Studies show these probabilities of getting the three illnesses: The probabilities of developing the symptoms H, given a specific illness, are: Assuming that an ill person shows the symptoms H, what is the probability that the person has illness A?
Round your answer to four decimal places.
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Definitions:

Due Process Clause

A constitutional provision requiring that government actions against individuals follow fair procedures, including the right to a fair trial.

Tax

A compulsory financial charge or levy imposed by a government on individuals or entities to fund public services and infrastructure.

Due Process Clause

A constitutional guarantee providing fair treatment through the normal judicial system, especially as a citizen's entitlement.

Fourteenth Amendment

An amendment to the United States Constitution that grants citizenship to all persons born or naturalized in the USA, including former slaves, and guarantees all citizens equal protection of the laws.