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Fall 2005 Due: 10/5 GENETICS Homework 3 1. (1.5 pts.) Given the following gene-to gene distances, determine a map that includes all genes. O-R M-R M-G M 4 3 7 12 O R-A G-A G-N 3 13 8 10 R R-G O-G O-N 5 5 8 18 G 8 A 2 N 2. (1.5 pts.)The following two genotypes are crossed: Aa;Bb;Cc;dd;Ee X Aa;bb;Cc;Dd;Ee. What will the proportion of the following genotypes be among the progeny of this cross? a) Aa:Bb;Cc;Dd;Ee Pr = (1/2)(1/2)(1/2)(1/2)(1/2) = 1/32 b) Aa;bb;Cc;dd;ee Pr = (1/2)(1/2)(1/2)(1/2)(1/4) = 1/64 c) aa;bb;cc;dd;ee Pr = (1/4)(1/2)(1/4)((1/2)(1/4) = 1/256 d) AA;BB;CC;DD;EE Pr = 0 3. (1.5 pts.) In watermelons, bitter fruit (B) is dominant over sweet fruit (b), and yellow spots (S) are dominant over no spots (s). The genes for these two characteristics assort independently. A homozygous plant that has bitter fruit and yellow spots is crossed with a homozygous plant that has sweet fruit and no spots. The F1 are intercrossed to produce the F2. a) What will be the phenotypic ratios in the F2? 9/16 B_S_ 3/16 B_ss 3/16 bbS_ 1/16 bbss bitter with yellow spots bitter with no spots sweet with yellow spots sweet with no spots b) If an F1 plant is backcrossed with the bitter, yellow spotted parent, what phenotypes and proportions are expected in the offspring? All would be bitter with yellow spots c) If an F1 plant is backcrossed with the sweet, nonspotted parent, what phenotypes and proportions are expected in the offspring? ¼ bitter with yellow spots ¼ bitter with no spots ¼ sweet with yellow spots ¼ sweet with no spots 4. (1.5 pts.) In rabbits, unspotted (W) is dominant to spotted(w) and short (S) is dominant to long (s). Females heterozygous for both genes are mated to homozygous recessive males to yield: 75 spotted, long 66 unspotted, short 10 unspotted, long 7 spotted, short a) Are the two genes linked? Yes. b) What is the chromosome composition of the female? ws/WS c) If the genes are linked, determine the map distance. RF = 17/158 = .1076 or 10.76 map units 5. (2 pt.) In assessing data that fell into two phenotypic classes, a geneticist observed 2 values of 250:150. She decided to perform a X analysis by using the following two different null hypotheses: (a) the data fit a 3:1 ratio, and (b) the data fit a 1:1 2 ratio. Calculate the X values for each hypothesis. What can be concluded about each hypothesis? Hypothesis one: expected 300 and 100 X2 = (300-250)2 + (100-150)2 = 8.33 + 25 = 33.33 df = 1 p < 0.005 300 100 REJECT HYPOTHESIS Hypothesis two: expected 200 and 200 X2 = (200-250)2 + (200-150)2 = 12.5 + 12.5 = 25 df = 1 p <0.005 200 200 REJECT HYPOTHESIS 6. (2 pt.) Consider the three linked genes in corn: b, lg, and v. A test cross between a triple heterozygote and a homozygous recessive yields the following progeny: 165 37 64 11 9 33 56 125 + + b + b b + b v + + + v v v + lg lg lg + lg + + + Determine the genetic composition of the heterozygote: determine gene order and map distances: and calculate interference. + v lg b + + v 18 mu b 28 mu v-b = 70 + 20 = .18 or 18 m.u. 500 lg b-lg = 120 + 20 = .28 or 28 m.u. 500 predicted dco = 0.18 x 0.28 x 500 = 25.2 I = 1 – 20/25.2 = 1 - 0.794 = 0.206