Texas Wesleyan University used to have a colony of rats that were used for genet

Question

Texas Wesleyan University used to have a colony of rats that were used for genetics research. I was particularly interested in 2 coat color genes. One gene causes rats to be brown (B-) or black (bb). The other gene is called dilution & it causes colors to look “lighter”. For example, genetically black rats that are also dd look grey, genetically brown but dd rats are called "cinnamon". In 2016, I had the following rats: 38 grey, 29 black, 25 cinnamon, & 17 brown. a) Assuming the population is in HWE, estimate the frequency of the B & b alleles? b) Now, estimate the frequency of the D & d alleles? Is this population in HWE? c) Assuming this population is in HWE, what percentage of the newborn rats will be grey in any subsequent generation?

Table 1: Chi-Square Probabilities. df 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103 o.211 4.605 5.991 7.378 9.210 10.597 3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860 0.412 0.554 0.831 1.145 1.610 9.236 11.070 12.833 15.086 16.750 6 0.676 0.872 1237 1.635 2.204 10.645 12.592 14.449 16.812 18.548 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278 1.344 1.646 2180 2.733 3.490 13.362 15.507 17.535 20.090 21.955 9 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 23.589 100 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25.188

Explanation / Answer

solution:

a) grey = 38

   black = 29

cinnamon = 25

     brown = 17

The frequency of B and b alleles :

(38 grey + 29 black) = 67 bb

67 / (38+29+25+17) = 67 / 109 = 0.6147 = q2

q = 0.784, p = 0.216

The frequency of the D and d alleles:

(38 grey + 25 cinnamon ) = 63 dd

63 / (38+29+25+17) = 63 / 109 = 0.5780 = q2

q = 0.76 , p = 0.24

c) df = 1

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