2. Stochastic Processes

Filtrations — Quiz

Test your understanding of filtrations with 5 practice questions.

Practice Questions

Question 1

At mutation–selection equilibrium for an autosomal recessive deleterious allele with mutation rate $u$ and selection coefficient $s$ against homozygotes, the equilibrium frequency $q_e$ is approximated by $q_e\approx\sqrt{\frac{u}{s}}$. If $u=1\times10^{-5}$ and $s=0.04$, what is $q_e$?

Question 2

In a two‐locus system with linkage disequilibrium $D=0.2$ and recombination fraction $r=0.1$, what is the value of $D$ in the next generation?

Question 3

Consider a locus with two alleles $A$ and $a$ exhibiting overdominance, where fitnesses are $w_{AA}=1-s=0.9$, $w_{Aa}=1$, and $w_{aa}=1-t=0.8$. What is the equilibrium frequency $p^*$ of allele $A$?

Question 4

Which mechanism most commonly generates tandem gene duplications within a chromosome?

Question 5

What is the probability that a neutral allele present at frequency $p=0.02$ in a large population will eventually become fixed by genetic drift?