Question

matching question
in the danish mud hopper, the green color allele is dominant over the brown color allele. if p represents the dominant allele and q represents the recessive allele,
what are the correct genotypic ratios for the color trait in a population that contains 64% green and 36% brown mud hoppers?
remember the hardy-weinberg equation: $p^{2}+2 p q+q^{2}=1.0$
instructions
$p^{2}$
$2 p q$
$q^{2}$
0.48
0.36
0.16

Explanation:

Step1: Find \( q^{2} \)

Since brown is recessive, \( q^{2}=0.36 \) (because 36% of the population is brown).

Step2: Find \( q \)

Take the square - root of \( q^{2} \). \( q = \sqrt{0.36}=0.6 \)

Step3: Find \( p \)

Use the formula \( p + q=1 \). So \( p=1 - q=1 - 0.6 = 0.4 \)

Step4: Find \( p^{2} \)

\( p^{2}=(0.4)^{2}=0.16 \)

Step5: Find \( 2pq \)

\( 2pq=2\times0.4\times0.6 = 0.48 \)

Answer:

\( p^{2}=0.16 \), \( 2pq = 0.48 \), \( q^{2}=0.36 \)