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Suppose the Probability of an Athlete Taking a Certain Illegal

question 108

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Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of steroid and will yield either a positive or negative result. Given
That the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the
Athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a
Positive test result has been observed for an athlete, what is the probability that they have taken
This steroid?


Definitions:

Domestic Sources

Sources within a country that contribute to its economy, politics, culture, or society, including local businesses, governments, and cultural expressions.

American Expansionism

The policy or ideology of expanding the territory or influence of the United States, historically through colonization, military conquest, or purchase.

Late Nineteenth Century

The period between 1870 and 1900, characterized by industrialization, urbanization, and significant social and political changes globally.

Ideology

A system of ideas, beliefs, values, and ideals that constitutes one's goals, expectations, and actions, often associated with political parties or social movements.

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