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3 . ( 2 points ). Cystic fibrosis (CF) is an autosomal recessive disease that pr

ID: 53879 • Letter: 3

Question

3. (2 points). Cystic fibrosis (CF) is an autosomal recessive disease that primarily affects lung function, and often leads to death at an early age. A man and a woman have had two healthy children, but keep worrying that they are carriers.

3a. What is the probability of producing two healthy (non-CF) children in a row if neither parent is a carrier?

3b. What is the probability of producing two healthy (non-CF) children in a row if one of the parents is a carrier?

3c. What is the probability of producing two healthy (non-CF) children in a row if both parents are carriers?

3d. How many children would the couple have to produce in order to have 99% probability of detecting that both are, in fact, carriers?

please be very specific

Explanation / Answer

3a. The probability of producing two healthy non-CF children if neither of parent is a carrier is - 1

3b. If one of the parents is a carrier - CC X Cc; CC, Cc, CC, Cc - 1/2

3c. If both the parents are carrier - Cc X Cc CC, Cc, cC, CC - 1/2

3d. The couple have to produce two Childerns in order to have 99% probability of detecting that both are carriers