Population Genetics: Hardy-Weinberg Equilibrium, Selection, Mutation, Migration & Inbreeding Coefficients

At what allelic frequency is the heterozygous genotype (Aa) twice as frequent as the homozygous genotype (aa) in a Hardy- Weinberg population?

The term "phylogenetic tree” is used in:

Consider the following terminologies used in phylogenetic analysis

Choose the correct answer from the options given below:

The number of possible unrooted trees for 5 operational taxonomic units is

In a particular study, a random sample (assumed to have been taken from a population which follow Normal distribution) was taken. If the sample size was 50, then the standard error of sample mean obtained was found to be 8 units. How much would be the standard error, if the sample size was increased to 200 (assuming that the standard deviation of the sample observations did not change)?

Suppose that the recessive individuals (‘aa’, like lethal or sterile genes) of a large random mating population are intended to be entirely eliminated from the population and that only the dominants are allowed to mate and reproduce. The zygotic proportions of the various genotypes (AA, Aa, aa) in the population before such a selection (against recessives) are given as (p2, 2pq, a2) respectively. The frequency of ‘A’ after such a selection in the next generation is

Let the frequency of a particular allele in the donor and the recipient populations, in some initial generation, be pg and Po respectively. Also suppose that a proportion 'm’ of the genes in the recipient population are replaced in every generation by immigrants. Assuming random mating within the recipient population, the difference in the gene frequency between the donor and recepient populations after one generation of migration is