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Biology 22 Problem Set 1 Fall 2011 Due October 4th, 9:30 am Hand in the solutions to each of the following problems. Put a box around each of your answers and show your work for partial credit. You may consult your book, lecture notes, other students and/or your instructor for assistance. 1. Familial Atypical Mycobacteriosis (FAM), in which individuals are susceptible to infections by non-tuberculosis causing mycobacteria, is inherited with the recessive allele f on the X chromosome. The X-linked dominant allele F prevents Familial Atypical Mycobacteriosis. Colon cancer susceptibility is inherited with the autosomal recessive allele c. The autosomal dominant allele C prevents colon cancer. a. Bruce has FAM but is not susceptible to colon cancer. His wife Bonnie does not have FAM but does have colon cancer susceptibility. Bruce’s mother is susceptible to colon cancer. Bonnie’s father has FAM. Out of 5 children born to Bruce and Bonnie, what is the probability that at least one will be a son with FAM and colon cancer susceptibility? b. For Bruce and Bonnie, what is the probability that their first child will be a daughter without FAM who is susceptible to colon cancer and their second child will be a daughter with FAM who is not susceptible to colon cancer and their third child will be a son who has neither condition? c. Oscar has neither FAM nor colon cancer susceptibility. His wife Ophelia has FAM but does not have colon cancer susceptibility. Oscar’s father and Ophelia’s mother have colon cancer susceptibility. For Oscar and Ophelia, what is the probability that their first child will be either a son with FAM and colon cancer susceptibility or a daughter who has neither condition? d. Out of 4 children born to Oscar and Ophelia, what is the probability that 3 will be sons with FAM who do not have colon cancer susceptibility? 2. A prototrophic Hfr strain of E. coli with the genotype trp+ purB- pyrC+ is conjugated with an F- strain with the genotype trp- purB+ pyrC-. The trp gene is known to enter last. The following numbers of recombinants were isolated: trp+ purB- pyrC0 trp+ purB+ pyrC+ 24 trp+ purB+ pyrC56 trp+ purB- pyrC+ 320 Draw a genetic map that shows the order in which these genes are arranged and the distances between them. 3. Four different Hfr strains of E. coli transfer their genes in the order given below: Strain 1 Strain 2 Strain 3 Strain 4 Gene Markers Entry Time (min) Gene Markers Entry Time (min) Gene Markers Entry Time (min) Gene Markers Entry Time (min) A 8 F 42 B 90 E 108 F 5 D 31 E 52 B 70 C 2 F 13 A 47 B 78 D 4 A 12 C 80 Using these results, construct a linkage map of the circular E. coli chromosome. Express the gene distances in transfer time (minutes) between adjacent pairs of genes. 4. A female rabbit with rickets and hemophilia and a tail was mated to a male rabbit that did not have rickets or hemophilia but lacked a tail. The F1 females were all wild type, that is, not having rickets or hemophilia but having a tail. The F1 males had rickets, hemophilia and tails. A cross of F1 females to F1 males produced the following offspring in the F2 generation: Rickets No rickets Rickets Rickets No rickets No rickets Rickets Rickets No rickets Phenotype Hemophilia Hemophilia No hemophilia Hemophilia No hemophilia Hemophilia No hemophilia Hemophilia No hemophilia Tails Tail-less Tail Tail-less Tail Tail Tail-less Tail Tail-less Number of Males Females 43 0 54 93 16 0 21 159 5 97 3 0 176 151 182 0 a. What are the genotypes of the original parents in this cross? Write each genotype to show which alleles are linked together on the same chromosome. b. What are the genotypes of the F1 males and females? Write each genotype to show which alleles are linked together on the same chromosome. c. Draw a genetic map showing the distances between theses genes. Express the distances in map units. d. What is the degree of interference? 5. In humans, deafness and blindness (due to the disease retinitis pigmentosum) are determined by recessive alleles at X-chromosome loci that are 12 map units apart. Consider the pedigree shown below. a. What are the possible genotypes for individual III-3? What is the probability for each possible genotype? b. What is the probability that individual III-3 can have a son who is both blind and deaf? c. What are the possible genotypes for individual III-5? What is the probability for each possible genotype? d. What is the probability that individual III-5 can have a son who is both blind and deaf? Normal Vision Normal Hearing Blindness Normal Hearing Normal Vision Deafness Blindness Deafness I II III 1 2 3 4 5 6 7