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5-1 Biology 22 Practice Problems Specific information for traits in the practice problems is provided in the tables on pages 5-1 --- 5-3. Chickens Trait Genotype Phenotypic Effect Relationship Feather Color C_ Colored feathers (in absence of I allele) White feathers C>c White feathers (inhibits feather color from C) I>i cc Color Inhibitor I_ ii Fruit Flies Trait Genotype Phenotypic Effect XYX-- or XYY Beige body (wild type) XyeXye or XyeY Yellow body Bristle Number N_ Full Bristle Number (wild type) (chromosome 2) nn Reduced Bristle Number XFX-- or XFY Straight bristles (wild type) XfXf or XfY Forked bristles Eye Color R_ Red eyes (wild type) (chromosome 2) rr Cinnabar eyes XWX-- or XWY Red eyes (wild type) XwhXwh or White eyes Body Color (X chromosome) Bristle Shape (X chromosome) Eye Color (X chromosome) Relationship Y > ye N>n F>f R>r W > wh XwhY Wing shape V_ Long wings (wild type) (chromosome 2) vv Vestigial wings V>v 5-2 Specific information for traits in the practice problems is provided in the tables on pages 5-1---5-3. Humans Trait Genotype Phenotypic Effect ABO Blood Type IAIA or IAi Type A Blood IBIB or IBi Type B Blood IAIB Type AB Blood ii Type O Blood XaXa or XaY Angiokeratoma (abnormal skin growths) Angiokeratoma XAX- or Relationship IA = IB > i A>a No disease XAY Earlobe attachment E_ Free earlobes ee Attached earlobes X FX f Focal Dermal Hypoplasia (skin lesions) Focal Dermal Hypoplasia X FY Lethal (fetus dies in utero) XfXf or XfY No disease Hair Curling wwo Wooly hair Hierarchy of wk Kinky hair Dominance: wc Curly hair wwo > wk > wwa Wavy hair wc > wwa > ws Straight hair ws H_ Straight thumb hh Hitchhiker’s Thumb (Last joint of thumb bends at 45o angle) P_ Pigmented Iris (Additional genes give specific color, e.g. brown, hazel) Hitchhiker’s Thumb Iris Color Mid-digital Hairs Duchenne Muscular Dystrophy pp Blue Iris (non-pigmented) M_ Mid-digital Hairs (Hairs on middle bone of fingers) mm Hairless mid-digits XDX- or X DY No disease XdXd or Duchenne Muscular Dystrophy E>e F>f H>h P>p M>m D>d XdY Rh Factor R_ Rh-positive blood rr Rh-negative blood R>r 5-3 Specific information for traits in the practice problems is provided in the tables on pages 5-1 --- 5-3. Radishes Trait Genotype Phenotypic Effect Relationship Radish shape LL Long radish Incomplete L’L Oval radish Dominance L’L’ Round radish L + L’ = LL’ RR Red radish Incomplete RR’ Purple radish Dominance R’R’ White radish R + R’ = RR’ Radish color Tomatoes Trait Genotype Phenotypic Effect Fruit Color R_ Red fruit rr Yellow fruit T_ Tall tt Dwarf M_ Uniformly green mm Mottled (patches of yellow) O_ Round oo Oblate Plant size Leaf Coloration Fruit Shape Relationship R>r T>t M>m O>o 5-4 Specific information for traits in the practice problems is provided in the tables on pages 5-1 --- 5-3. A. Frank has attached earlobes. His wife Flora has free earlobes but Flora’s father has attached earlobes. a. What is the probability that Frank and Flora will have a child with free earlobes? b. Out of 3 children born to Frank and Flora, what is the probability that at least one child will have attached earlobes? c. Out of 4 children born to Frank and Flora, what is the probability that 3 children will have free earlobes? B. Thomas has mid-digital hairs. His wife Theresa also has mid-digital hairs. Their first child, Theodore, has hairless mid-digits. a. What is the probability that Thomas and Theresa’s second child will have mid-digital hairs? b. What is the probability that Thomas and Theresa’s third child will have hairless mid-digits? c. Out of 5 children born to Thomas and Theresa, what is the probability that at least 1 will have mid-digital hairs? C. Paul has light blue non-pigmented irises. His wife Pamela also has nonpigmented irises. a. What is the probability that Paul and Pamela will have a child with pigmented irises? b. What is the probability that Paul and Pamela will have a child with nonpigmented irises? D. Ernest has Type AB, Rh-positive blood. His wife Emily has Type A, Rhpositive blood. Ernest’s mother has Type B, Rh-negative blood. Emily’s father has Type O, Rh-negative blood. What is the probability that Ernest and Emily will have a child with a. Type AB, Rh-negative blood? b. Type B, Rh-positive blood? c. Type A, Rh-negative blood? d. Type B, Rh-negative blood? e. Type A, Rh-positive blood? f. Type AB, Rh-positive blood? g. Type O, Rh-negative blood? 5-5 Specific information for traits in the practice problems is provided in the tables on pages 5-1 --- 5-3. E. Jeremy has attached earlobes and pigmented irises. His wife Jenny has free earlobes and light blue non-pigmented irises. Jeremy’s father has nonpigmented irises. Jenny’s mother has attached earlobes. a. What is the probability that Jeremy and Jenny will have a child with free earlobes and pigmented irises? b. What is the probability that Jeremy and Jenny will have a child with attached earlobes and non-pigmented irises or free earlobes and nonpigmented irises? c. Out of 4 children born to Jeremy and Jenny, what is the probability that 2 will have attached earlobes and pigmented irises? F. Mark has straight hair. His wife Marilyn has curly hair. Their son Matthew has straight hair. For Mark and Marilyn, what is the probability that a. Their second child will have curly hair? b. Out of 3 children, two will have straight hair? c. Out of 4 children, at least one will have curly hair? G. Mr. X has angiokeratoma. He marries Ms. Y who does not have angiokeratoma but whose father has the disease. What are the expected percentages and phenotypes (including gender) for children of Mr. X and Ms. Y? H. What are the percentages and phenotypes of offspring for the following fruit fly crosses involving body color genes? a. Yellow-bodied female X Beige-bodied male? b. True-breeding Beige-bodied female X Yellow-bodied male? c. Beige-bodied female (from Yellow-bodied father) X Yellow-bodied male? I. A plant with round, red radishes is crossed to a plant with long, white radishes. The F1 plants were crossed to plants with round, purple radishes. In the resulting F2 generation, what is the fraction of plants that will have a. Oval, purple radishes? b. Oval, white radishes? c. Long, red radishes? d. Round, red radishes? e. Long, purple radishes? f. Round, white radishes? g. Oval, red radishes? h. Round, purple radishes? i. Long, white radishes? 5-6 Specific information for traits in the practice problems is provided in the tables on pages 5-1 --- 5-3. J. A true-breeding red, dwarf tomato plant is crossed to a true-breeding yellow, tall tomato plant to produce an F1 generation. F1 plants are crossed to each other to produce an F2 generation. a. What are the genotypic and phenotypic ratios for the offspring in the F1 generation? b. What are the genotypic and phenotypic ratios for the offspring in the F2 generation? K. A rooster with white feathers is mated to a hen with white feathers. Both the rooster and hen are heterozygous for both the C and I genes governing feather color. In the next generation, what is the ratio of offspring with colored feathers to offspring with white feathers? L. Nancy has Focal Dermal Hypoplasia. Her husband Norm does not have the disease. Considering only children born alive to Nancy and Norm, what fraction will be a. Females with Focal Dermal Hypoplasia? b. Males without Focal Dermal Hypoplasia? c. Females without Focal Dermal Hypoplasia? M. In fruit flies, three genes on the first chromosome (the X chromosome for sex determination) affect body color, eye color and bristle shape. The recessive traits are yellow body (allele ye), white eyes (allele wh) and forked bristles (allele f). The corresponding dominant traits are beige body (allele Y), red eyes (allele W) and long bristles (allele F). A female true breeding for yellow body, red eyes and long bristles was mated to a male true breeding for beige body, white eyes and forked bristles. The F1 females, with beige bodies, red eyes and long bristles, were mated to males with yellow bodies, white eyes and forked bristles. The resulting F2 offspring are listed below. Body color Eye color Bristle shape Number of offspring yellow red long 376 beige white forked 388 yellow white forked 6 beige red long 8 beige red forked 41 yellow white long 45 yellow red forked 66 beige white long 70 a. b. Draw a genetic map that shows the distances between these genes. What is the degree of interference for these genes? 5-7 N. In tomatoes, three genes on the first chromosome affect leaf coloration, fruit shape and plant height. The recessive traits are mottled leaves (allele m), oblate fruits (allele o) and dwarf height (allele t). The corresponding dominant traits are green leaves (allele M), round fruits (allele O) and tall height (allele T). A plant that is true breeding for mottled leaves, round fruits and dwarf height is crossed to a plant that is true breeding for green leaves, oblate fruits and tall height. The F1 plants, with green leaves, round fruits and tall heights are mated to plants that are true breeding for mottled leaves, oblate fruits and dwarf height. The resulting F2 offspring are listed below. Leaf Coloration mottled green Fruit Shape round oblate Plant Height dwarf tall Number of Offspring 320 312 mottled green green mottled green mottled round oblate round oblate round oblate tall dwarf tall dwarf dwarf tall 10 12 96 102 79 69 a. Draw a genetic map that shows the distances between these genes. b. What is the degree of interference for these genes? O. In fruit flies, three genes on the second chromosome (an autosome) affect eye color, bristle number and wing shape. The recessive traits are cinnabar eyes (allele r), reduced bristle number (allele n) and vestigial wings (allele V). The corresponding dominant traits are red eyes (allele R), full bristle number (allele N) and long wings (allele V). A female true breeding for cinnabar eyes, reduced bristle number and vestigial wings was mated to a male true breeding for red eyes, full bristle number and long wings. F1 females, with red eyes, full bristle number and long wings, were mated to males with cinnabar eyes, reduced bristle number and vestigial wings. The resulting F2 offspring are listed below. Eye color Bristle Number Wing shape Number of offspring Cinnabar Reduced Vestigial 810 Red Full Long 818 Cinnabar Reduced Long 113 Red Full Vestigial 119 Cinnabar Full Vestigial 69 Red Reduced Long 63 Cinnabar Full Long 5 Red Reduced Vestigial 3 a. b. Draw a genetic map that shows the distances between these genes. What is the degree of interference for these genes? 5-8 P. Neurospora crassa produces ordered tetrads. The numbers and types of tetrads that result from three crosses are shown below. Spores are listed in pairs for simplicity. Draw a genetic map that represents the distances between these three genes (A, B and C) and also shows the distance between each gene and its centromere. Cross 1: A B x a b A B A B a b a b 292 A A a a b b B B 22 A A a a b B b B 6 A a A a b b B B 38 A a A a B b B b 16 A a A a b B b B 14 A a A a B b b B 12 Cross 2: A C x a c A C A C a c a c 233 A A a a c c C C 19 A A a a c C c C 68 A a A a c c C C 38 A a A a C c C c 12 A a A a c C c C 18 A a A a C c c C 14 Cross 3: B C x b c B C B C b c b c 288 B B b b c c C C 0 B B b b 64 c C c C B b B b c c C C 0 B C b c B C b c 48 B b B b 0 c C c C B C b c B c b C 0 5-9 Q. Neurospora crassa produces ordered tetrads. The numbers and types of tetrads that result from three crosses are shown below. Spores are listed in pairs for simplicity. Draw a genetic map that represents the distances between these three genes (D, E and F) and also shows the distance between each gene and its centromere. Cross 1: D e D D d d E E e e 14 D D d d e e E E 264 D D d d e E e E 2 D d D d e e E E 90 x d E D d D d E e E e 12 D e d E D e d E 10 D d D d E e e E 8 Cross 2: E F x e f E F E F e f e f E E e e f f F F 155 149 E E e e f F f F 64 E e E e f f F F E F e f E F e f E f e F E f e F 8 14 0 E e E e F f f F 10 Cross 3: D f x d F D F D F d f d f D D d d f f F F 102 104 D D d d 74 f F f F D d D d f f F F 98 D d D d F f F f 10 D d D d 8 f F f F D d D d 4 F f f F 5-10 R. Two Hfr strains carrying the markers thr+ leu+ azis lac+ gal+ were individually conjugated with an F- strain with the genotype thr- leu- azir lac- gal-. Samples were removed at various times and the incorporation of markers into the recipient strains by recombination was determined, as shown below. Time (min) 0 Recombinants with markers form Hfr strain 1 None detected Time (min) 0 Recombinants with markers from Hfr strain 2 None detected 4.0 azis 5.0 thr+ 7.0 azis leu+ 9.0 thr+ leu+ 11.0 azis leu+ thr+ 12.0 thr+ leu+ azis 18.0 azis leu+ thr+ gal+ 20.0 thr+ leu+ azis lac+ 29.0 azis leu+ thr+ gal+ lac+ 31.0 thr+ leu+ azis lac+ gal+ Draw a map showing the locations of these genes on the E. coli chromosome. S. An Hfr strain that is cysH+ metB- argA+ strs is conjugated with an F- strain that is cysH- metB+ argA- strr. Interrupted mating studies show that cysH+ enters last. Recombinants that are cysH+ strr are selected and then tested for the presence of metB+ and argA+. The following numbers of bacteria are found for each of the genotypes listed below. Draw a map that shows the gene order and the distances between the genes in map units. Class + Number of exconjugants + - cysH metB argA 78 cysH+ metB+ argA+ 53 + - - cysH metB argA 2 cysH+ metB- argA+ 367 T. DNA is isolated from E. coli strain V (lys- pro- pens) and used to transform strain W (lys+ pro+ pens). Transformants are selected on minimal medium + penicillin to kill lys+ pro+ cells and survivors are plated on complete medium. The classes and numbers of cells obtained are listed below. Draw a map that shows the distance between the lys and pro genes based on recombination frequency. Class Number of Transformants + - lys pro 19 lys- pro+ 26 - - lys pro 205 5-11 U. Transducing phages that infected a gal+ trp+ his+ cell were used to infect a gal- trp- his- cell. Transductants receiving the gal+ marker were tested for the presence of trp+ and his+. The classes and numbers of transductants for each class are shown below. Determine the gene order and the cotransduction frequencies of gal+ with trp+ and gal+ with his+. Class Number of Transductants gal+ trp+ his+ 22 gal+ trp+ his- 3 gal+ trp- his+ 78 gal+ trp- his- 397 V. The tables below show the offspring from three crosses with bacteriophage of alternate genotypes. Determine the order and genetic distances for genes A, B and C. A- B+ A- B- A+ B- A+ B+ 457 42 453 48 A- C+ A- C- A+ C- A+ C+ 419 83 411 87 B- C+ B- C- B+ C- B+ C+ 376 124 364 136 Cross A- B+ X A + B- Cross A- C+ X A+C - Cross B- C+ X B+C - W. In a human population exhibiting Hardy-Weinberg Equilibrium for the eye pigmentation gene, 81% of the people have blue (non-pigmented) irises. For this population a. b. c. d. What is the frequency of the allele for blue irises? What is the frequency of the allele for pigmented irises? What is the frequency of people who are homozygous for pigmented irises? What is the frequency of people who are heterozygous for pigmented irises? 5-12 X. Human Population A exhibits Hardy-Weinberg Equilibrium for the Duchenne Muscular Dystrophy gene. In this population, 3% of the males have the disease. For Population A a. What is the frequency of females with Duchenne Muscular Dystrophy? b. What is the frequency of females who are carriers of the Duchenne Muscular Dystrophy allele? c. What is the frequency of females who are homozygous for the nondisease allele (DD)? Y. Human Population B exhibits Hardy-Weinberg Equilibrium for the Duchenne Muscular Dystrophy gene. In Population B, 9% of the males have the disease. A representative group of 1000 individuals from Population B migrates to a small isolated island to join 1000 representative individuals from Population A. (Assume equal number of males and females in both populations and that both populations are in Hardy-Weinberg Equilibrium at all times.) In the new mixed population immediately after immigration, what is the a. frequency of males with Duchenne Muscular Dystrophy? b. frequency of females with Duchenne Muscular Dystrophy? Z. In a human population that does not exhibit Hardy-Weinberg Equilibrium for Duchenne Muscular Dystrophy, the frequency of the disease allele (d) is 0.3 in males and 0.2 in females. Considering random mating to produce the next generation a. What percentage of male offspring will have Duchenne Muscular Dystrophy? b. What percentage of female offspring will have Duchenne Muscular Dystrophy?