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Cystic fibrosis (CF) is a genetically caused disease. A child that receives a CF

ID: 3204765 • Letter: C

Question

Cystic fibrosis (CF) is a genetically caused disease. A child that receives a CF gene from each of its parents will develop the disease either as a teenager or before, and will not live to adulthood. A child that receives either zero or one CF gene will not develop the disease. If an individual has a CF gene, then each of his or her children will independently receive that gene with probability 1/2.

(a) If both parents possess the CF gene, what is the probability that their child will develop cystic fibrosis?

(b) What is the probability that a 30-year old who does not have cystic fibrosis, b

Explanation / Answer

a)

Since each of the individual parents can transmit the CF gene within the child with probability ½, then the probability that when both parents possess CF gene, the child has the probability of ½*1/2=1/4 as probability of developing a CF gene.

b)

Probabilty should be 1 because in that case none of the parents would have possessed CF.

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