In a sample from a grasshopper population, you find four alleles at a particular locus. The frequencies of A1, A2, A3, and A4 are p1= 0.50, p2=0.30, p3=0.15, and p4=0.05. Assuming Hardy-Weinberg equilibrium, calculate the expected proportion of each of the ten possible genotypes (e.g., that of A2A3 should be 0.09). Show that heterozygotes, of all kinds, should constitute 63.9 percent of the population. In a sample of 100 specimens, how many would you expect to be heterozygous for allele A4? How many would you expect to be homozygous A4A4?