You are working on corn and find that a particular locus you are studying influences the number of kernels in a row of corn, a quantitative trait. On average an ear of corn has ~800 kernels of corn in 16 rows. The locus you are working with appears to increase the number of kernels per row and consists of two alleles, lets call them Aand a that appear to exhibit a dominant relationship with A dominant to a. In studying this locus you survey a population of corn to see how common it is and find the genotype frequencies. While surveying the individuals you also collect ears of corn and estimate the probability of seeing >800 kernels of corn for each genotype. Both of these data are presented in the table below.
Genotype AA Aa aa
Genotype Frequency 0.40 0.36 0.24
Probability(>800 Kernels) 0.49 0.62 0.81
Given these data, you can calculate the probability of observing a kernel of corn that has over 800 kernels on it for each genotype. What is the probability of a kernel that has over 800 kernels on it being a heterozygote?