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2. (10 points total) Dr. Mount notices a rare physical trait in one of his stude

ID: 79592 • Letter: 2

Question

2. (10 points total) Dr. Mount notices a rare physical trait in one of his students that he suspects is genetic To study this further, he finds more people with this trait by advertising online. To simplify the analysis, he limits his study to families with exactly three children (i.e., respondents each have two siblings). Assuming that the trait is autosomal, recessive and rare; and further assuming that his advertising has identified people with the trait at random, what fraction of the families would he expect to have 03 affected children, 1 affected child, 2 affected children and (all) 3 affected? (Hint: A table on the next page may help in how to go about solving this problem)

Explanation / Answer

A)Since the disorder is rare then we have to consider the parents of respondents to be heterozygous that is carrier of the disease. We can not consider one of the parent affected because it is Autosomal recessive RARE disease. So the probability of respondents to be affected from the carrier parents is 25%. 1) probability of all the 3 children to be affected is 1/4*1/4*1/4=1/64.

2) probability of two children to be affected would be

1/4*1/4*3/4(probability of children to be unaffected) =3/64.

3) probability of 1 child to be affected would be

1/4*3/4*3/4=9/64

4) probability of no child to be affected among three would be

3/4*3/4*3/4=27/64

B) since the table mentioned in the question is not given the information to attend the further question is not possible. The information regarding persons to apply for this is not given.

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