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A Human Gene Carries a Certain Disease from a Mother

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A human gene carries a certain disease from a mother to her child with a probability rate of 0.47. That is, there is a 47% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has five children. Assume that the infections, or lack thereof, are independent of one another. Find the probability that all five of the children get the disease from their mother.


Definitions:

Group Membership

The act of belonging to a social group, which influences an individual's identity, attitudes, and behaviors.

Majority Group

refers to the segment of a population that constitutes more than half of its entirety or holds a dominant position in a social hierarchy.

Stigma Consciousness

The awareness and concern about being judged or discriminated against based on a personal trait or social stigma.

Stereotype Threat

The risk of confirming negative stereotypes about an individual's racial, ethnic, gender, or cultural group, which can hinder performance in a variety of settings.

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