Concept explainers
A gene has two alleles A (frequency = p) and a
(frequency = q). If a population is at Hardy-Weinberg
equilibrium, develop mathematical expressions in
terms of p and q that predict the following mating
frequencies:
a. Between two AA homozygotes
b. Between two aa homozygotes
c. Between two Aa heterozygotes
d. Between an AA homozygote and an aa homozygote
e. Between an AA homozyote and an Aa heterozygote
f. Between an aa homozygote and an Aa heterozygote Considering your answers to parts (a)–(f):
g. Do the six possibilities listed account for all possible matings? How would you know whether this is
true mathematically? Demonstrate this latter point
by setting p equal to an arbitrary number between
0 and 1 such as 0.2.
h. Can you develop a simple, general rule for calculating the mating frequencies between individuals
of the same genotype versus the mating frequencies between individuals of different genotypes?
i. If the population is equally divided between males
and females, what proportion of all matings will be
between an AA male and an AA female? Between
an AA male and an Aa female? Between an AA
male and an aa female?
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