1.  A graduate student was trying to start up a population of mice for her Ph.D. research.  Assuming that she started with twenty males and five females and all of the individuals in the population were equally fit, what would the effective size of the population be?

ne[5, 5]

10.

2.  Assuming that F(0)=0 what would be the inbreeding coefficient after one generation with the above effective population size?

3. After the first generation (questions 1 and 2 above), the graduate student had enough males and females survive to adulthood to set up ten mating pairs, which produced, 0, 1, 4, 2, 3, 2, 1, 0, 3 and 4 offspring repsectively.  What is the effective population size of this generation?  What is the expected heterozygosity of their offspring (H(2))?

4. Assuming thereafter the population is able to maintain itself from generation but variance in the number of offspring contributed to the next generation is high (V=3.5).  What is this populations effective size?  What is the expected heterozygoisity after 7 more generations of random mating with the calculated effective population size?

Here is a plot of how the heterozygosity decays (not asked for in the question)