A dominantly inherited genetic disease is identified over several generations of a large family. However, about half the families have dominant disease with complete pen- etrance, whereby if a parent is affected there is a 50% probability that any one offspring will be affected. Similarly, about half the families have dominant disease with reduced penetrance, whereby if a parent is affected there is a 25% probability that any one offspring will be affected. Suppose in a particular family one parent and two of the two offspring are affected. What is the probability that exactly two of the two offspring will be affected in a family with dominant disease with complete penetrance? What is the probability that exactly two of the two offspring will be affected in a family with dominant disease with complete penetrance? What is the probability that exactly two of the two offspring will be affected in a family with dominant disease with reduced penetrance? What is the probability that the mode of transmission for this particular family is dominant with complete penetrance? Is this a prior probability or a posterior probability?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A dominantly inherited genetic disease is identified over several generations of a large family. However, about half the families have dominant disease with complete pen-
etrance, whereby if a parent is affected there is a 50% probability that any one offspring will be affected. Similarly, about half the families have dominant disease with reduced
penetrance, whereby if a parent is affected there is a 25% probability that any one offspring will be affected. Suppose in a particular family one parent and two of the two
offspring are affected.

What is the probability that exactly two of the two offspring will be affected in a family with dominant disease with complete penetrance?


What is the probability that exactly two of the two offspring will be affected in a family with dominant disease with complete penetrance?


What is the probability that exactly two of the two offspring will be affected in a family with dominant disease with reduced penetrance?

What is the probability that the mode of transmission for this particular family is dominant with complete penetrance? Is this a prior probability or a posterior probability?

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