3. (24 pts total) Assume that body color in the cockroach is controlled by a single autosomal locus, G, such that GG ind
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3. (24 pts total) Assume that body color in the cockroach is controlled by a single autosomal locus, G, such that GG ind
3. (24 pts total) Assume that body color in the cockroach is controlled by a single autosomal locus, G, such that GG individuals are grey, Gg individuals are speckled and gg individuals are white. a) (4 pts) You visit your friend's apartment on Church Street, where you are appalled to find a large number of cockroaches. You count a total of 5625 grey cockroaches, 3750 speckled cockroaches, and 625 white cockroaches. What are the frequencies of the G and g alleles in the total population? b) (2 pts) Is the population in part (a) at Hardy-Weinberg equilibrium or not? Indicate how you made this determination. c) (6 pts) You discover an opening in the basement through which cockroaches from the outside are free to migrate into the apartment (but through which cockroaches do not leave-after all, would you leave the food supply in the apartment if you were a cockroach?). You sample the outside population, and find f(grey)= 0.15, flspeckled)-0.75, and f(white) -0.1. You estimate that approximately 1000 cockroaches migrate into the apartment every generation from this outside population. What would be the frequency of the g allele after 1 generation of this migration? d) (6 pts) Assume instead that your friend seals the entry in the basement and paints his floor white. As a result the grey and speckled cockroaches can be seen and squashed more easily, resulting in fitnesses of 0.4, 0.6 and 1.0, respectively, for the grey, speckled and white cockroaches. Starting from the population in part (a) and ignoring migration from part (c), what would be the frequency of the grey, speckled, and white cockroaches one generation after the floor had been painted?
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