3. If 50 of the 500,000 people in Atlanta have PKU, how many people are carriers?
4. In Atlanta, if a woman with PKU marries a man without symptoms of PKU, what is the chance that they will have a child with PKU?
Answer:
3).
Frequency of PKU trait = q^2 = 50/500000 = 0.0001
Frequency of PKU allele = q = SQRT of 0.0001 = 0.01
Frequency of normal allele = p = 1-0.01 = 0.99 (as p+q=1)
Frequency of carriers = 2pq= 2*0.99*0.01 = 0.0198
Number of carriers = 0.0198 * 500000 = 9900
4).
PKU = p
Normal = P
Based on the information, the man would be the carrier. Then only the child would have the PKU trait.
pp (woman) x (man) Pp ---Parents
|
P |
p |
|
|
p |
Pp (normal) |
pp (PKU) |
The chance of child with PKU = 50%
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