Bio4250 midterm questions (2025)

1) I may change the numbers to be used in any of the numerical calculations given below. I may require an answer to one question in particular, with a choice of any two others.

2) Your answers should be handwritten, and about the length of one 8.5 x 11 page. Write each answer on a separate page.

3) You may bring one-half of an 8.5 x 11 sheet of paper with notes (on both sides); please do not try to cram all of the answers in the smallest handwriting possible. Hand in these sheets with your answers.





BIOL4250 - Sample Midterm Questions

 

Prepare answers to ALL of the HOMEWORK questions below. For the exam, I will choose FOUR: you must answer any THREE in the75 min exam Period. Show your work.

[I suggest that you not use calculators]


 

1.       Prior to the advent of molecular data in the 1960s, it was assumed that the large organismal differences between humans relative to other apes (including chimpanzees and gorillas) were due to a large amount of genetic change along the human lineage. (a) Test this hypothesis by counting the number of SNP changes among the three pairwise combination of primate species A, B, & C as provided at the time of the test. Report these numbers. (b) Do the data support or reject the hypothesis? Explain.

 

2.       William J Spillman was an American agronomist who in 1901 observed experimentally what would later be called Mendelian ratios. Answer the HOMEWORK question here on his crosses. Write your answer as a teaching exercise for a Biol2250 student trying to understand Mendelian ratios.

 

3.      With a sample size of n = 100, is a ratio of 58:42 sufficient to demonstrate a significant deviation from an expected 50% : 50% ratio at p = 0.05? Explain, with numbers. (2) With n=100, what is the minimum deviation from expectation that could be detected as statistically significant at p=0.01? From the formula for Chi-Square, show algebraically what the minimum deviation is. A table of Chi-square values will be provided.

 

4.       (a) Calculate Hexp for a locus with 50 alleles at equal frequency: show your work. (b) How many genotypes are there at such a locus? (c) Calculate Hexp for a locus with one allele at q = 0.5, and another 9, all at equal frequencies. Show your work. [Hint: use appropriate shortcuts. Don't use a calculator].

 

5.      Show the derivation of the Hardy-Weinberg Theorem, in terms of p = (p' - p).

 

6.      The course notes state: "The genetic dominance relationships of two alleles A & B at a locus with respect to fitness are fixed genetically, according to whether the AB heterozygote is more similar to the AA or to the BB homozygote. It is not determined by the phenotypic values themselves." Explain the idea of genetic dominance, and in doing so explain the difference between genetic dominance and phenotypic values.


7.  For a graph of the fate of a rare allele B under positive selection, the course notes state "The information in the graph also shows the fate of a common allele A under negative directional selection, IF the vertical (Y) axis  were inverted top to bottom ( 0) and labelled f(A) = p. That is, the behavior of the two alleles at a locus are complementary for any particular dominance model." For such a locus, show that the graph for A dominant to B is in fact complementary to the graph of B dominant to A. If you wish to make a numerical argument, let the fitness of the dominant phenotype be twice that of the recessive phenotype.

 

8.       For each of the graphs of q = f(B), identify which mode of selection is acting to produce change in q. Identify and explain the features of the curve of q over time that allow you to recognize the mode of selection. The particular graphs to be used are a work in progress.

 

 

9.       For a phenotype due to semi- or incompletely dominant alleles with Additive or Genic selection, for an initial f(B) < 0.01 and s < 0.5, use the GSM worksheet in Excel to run the (1) Additive and (2) Genic selection schemes in the table provided. At what values do the curves deviate and (or) converge on each other? Why?

 

10.




 All text material © 2025 by Steven M. Carr