You are assigned to the jury of a paternity case; determining whether the the child’s guardian father is actually his biological father. After listening to all the witnesses regarding the child’s family, you are 75% convinced that the guardian father is the child’s biological father. Additionally, you have been presented with laboratory blood tests indicating that the child has blood type B. The laboratory further provided population statistics stating that (a) If the guardian father is assumed to be the biological father, the child has 50% chance of having blood type B. (b) If the guardian father is assumed to NOT be the biological father, the child has 0.91% chance to have a blood type OTHER than B. How confident are you(what is the probability) that the guarding father is the child’s biological father?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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You are assigned to the jury of a paternity case; determining whether the
the child’s guardian father is actually his biological father. After listening to all the witnesses regarding the child’s family, you are 75% convinced that the guardian father is the child’s biological father. Additionally, you have been presented with laboratory blood tests indicating that the child has blood type B. The laboratory further provided population statistics stating that
(a) If the guardian father is assumed to be the biological father, the child has 50% chance of having blood type B.
(b) If the guardian father is assumed to NOT be the biological father, the child has 0.91% chance to have a blood type OTHER than B.

How confident are you(what is the probability) that the guarding father is the child’s biological father?

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