Determining the expected frequency of each genotype Consider

Determining the expected frequency of each genotype Considering the same population of cats as in Part A, what is the expected frequency of each genotype (T^LT^L, T^LT^S, T^ST^S)based on the equation for Hardy-Weinberg equilibrium? Keep in mind that you just learned in Part A that: The allele frequency of T^L is 0.4. The allele frequency of T^S is 0.6. The equation for Hardy-Weinberg equilibrium states that at a locus with two alleles, as in this cat population, the three genotypes will occur in specific proportions: p^2 + 2pq + q^2 = 1 Enter the values for the expected frequency of each genotype T^LT^L, T^LT^S, and T^ST^S. Enter your answer numerically to two decimal places, not as percentage. For help applying the Hardy-Weinberg equation to this cat population

Solution

Hardy-Weinberg equilibrium states                

p2+2pq+q2=1

TLTL (Homo zygotes): 60/200 = 0.3

TLTS (Hetero zygotes): 40/200 = 0.2

TSTS (Homo zygotes):   100/200 = 0.5

The TL Frequency is =    D+ H/2=  0.3+ 0.2/2= 0.4

The TS Frequency is =    R+ H/2=  0.5+ 0.2/2= 0.6

Determine the expected frequency of each genotype:

Frequency of TLTL (Homo zygotes): p2=(0.4)2= 0.16  

Frequency of TLTS (Hetero zygotes):   2pq=2 (0.4) (0.6) = 0.48  

Frequency of TSTS (Homo zygotes):   q2=(0.6)2= 0.36

Genotype    Phenotype(tail length)      Number of individuals in population   Expected Frequency

TLTL Long 60 0.16

TLTS Medium 40 0.48

TSTS Short 100                                               0.36