Concept explainers
(a)
To explain: The reason that Beth’s brother is albino although her parents are not albino.
(a)
Answer to Problem 121E
Solution: The child will be an albino
Explanation of Solution
Alleles inherited from Parent |
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Alleles |
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Alleles inherited from Parent. |
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Alleles inherited from Parent. |
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Alleles |
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Alleles inherited from Parent. |
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Alleles inherited from Parent. |
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Alleles |
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Alleles inherited from Parent. |
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With both the parents as non-albino, that is, genes
(b)
The genetic type of Beth’s parents’ child.
(b)
Answer to Problem 121E
Solution: Beth’s parents’ child could have the genetic type as
Explanation of Solution
Alleles inherited from Parent. |
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Alleles |
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Alleles inherited from Parent. |
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Therefore, Beth’s parents’ child could have either of the set of genes
To find: Probability of each type of genes inherited by the offspring.
Answer to Problem 121E
Solution: The probabilities for each set of genes are:
Explanation of Solution
Calculation: It is provided in the question that the inheritance of the alleles by the child is an independent
And
The probabilities for each set of genes inherited can be calculated as follows:
Hence, the obtained probabilities are
(c)
To find: The conditional probabilities for Beth’s genetic type provided the fact that Beth is nonalbino.
(c)
Answer to Problem 121E
Solution: The conditional probabilities obtained are:
Explanation of Solution
Calculation: The possible cases for types of genes of Beth based on the genes inherited from her parents are presented in the form of table in part (b) as follows:
Alleles inherited from Parent. |
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Alleles |
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Alleles inherited from Parent. |
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Since, it is provided that Beth is not albino, therefore, the possible genetic types of Beth are either
And
Hence, the obtained probabilities are:
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Chapter 4 Solutions
Introduction to the Practice of Statistics
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