Question

For many generations, the following genotypic frequencies were observed in a large population of dinosaurs: 4 percent AA, 32 percent Aa, and 64 percent aa. The climate changed abruptly and resulted in the death of all homozygous recessive dinosaurs (s = 1). In the next generation, the recessive homozygotes died shortly after birth. What percentage of these newborn dinosaurs died? Show Calculation

A) 4% B) 8.5% C) 19.7% D) 36.8% E) 44%

Answer 1

C) 19.7%

Step-by-step explanation:

The new population distribution after climate change wiped out homozygous recessive dinosaurs is:

`AA = (4)/(4+32)=(1)/(9)`

`Aa = (32)/(4+32)=(8)/(9)`

The percentage of offspring of this new population that are homozygous recessive is given by:

`P(Aa\ x\ Aa) = (8)/(9) *(8)/(9) =(64)/(81) \\P(aa) = (1)/(4)\\P(Aa\ x\ Aa) \cap P(aa) = (64)/(81)*(1)/(4) =0.197=19.7\%\\`

19.7% of these newborn dinosaurs died