Problem+Set+6

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Apr 3, 2024

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P ROBLEM S ET 6  Due to limited space on this handout, work out problems on a separate sheet of paper.  A legible, organized and complete answer will be expected for full credit (no credit for just the final answer even if it is correct!).  Write your name on each page.  When you have everything completed, scan your work and upload it on Canvas. Use the CamScanner App (you will use this app during the exams) or just take pictures of your work – just make sure pictures are clear and combined into one file!  For Problem Sets submitted a couple of days before the deadline – feedback will be provided and you’ll have the opportunity to resubmit your corrected work. Problem 1. Birth weight Weaning weight Yearling weight µ (lb) 65 450 900 2 p σ ( 2 lb ) 25 1600 4900 An animal has the following weights: 70 lb at birth; 580 lb at weaning; 1200 lb at yearling A. How many standard deviations above the mean is this animal for each trait? B. What percentage of the population is expected to lie between 65 and 70 lb at birth? C. What percentage of the population is expected to weigh more than 490 lb at weaning? D. What percentage of the population is expected to weigh more than 830 lb at yearling? Problem 2. Two very important weights collected in any beef cattle population are the weaning weight (at 7 mo) and yearling weight (at 12 mo). Assume we are working with a population of 5 and you collected the following weights: Animal WW (lb) YW (lb) 1 538 980 2 584 1010 3 610 1030 4 632 1230 5 636 1250 A. Calculate the mean weaning weight B. Calculate the mean yearling weight C. Calculate the phenotypic variance for weaning weight D. Calculate the phenotypic variance for yearling weight E. Calculate the standard deviation for weaning weight F. Calculate the standard deviation for yearling weight Problem 3 Assume in a population that there is a deleterious recessive allele that produces a skeletal problem in the homozygote. The frequency of this allele in the population is .01 . There is a male that is suspected of being a carrier of this allele so you randomly mate him to the female population. How many progen y would you have to observe to be 99% sure he is a homozygote for the normal allele if all progeny born show the normal phenotype? tannah Postlewait

Hannah Postlewait µ yummy meaning we um neg examp mm y h 65 450 900 BW 70lbs Ww 580lbs 05 25 1600 4900 yw 1,200 lbs 70 65 5 5 D from mean BW i.IE i fiiiiik.in B 68.2 2 34.1 lie between 6570 lbs c 50 34.1 15.91 weigh over 49016s D 50 34 _gun weighwerson 2 Animal BW YW I 538 980 2 584 1010 C 62 538 600 1584 6007 1610 6005 1632 600 636 600 5 1 3 610 1030 3844 256 100 11024 1296 4 6 W D 62 1980 11005 11010 11005 11030 11005 1235 250 11007 5 is 14400 8100 4900 16900 22500 4 624W 16700165 f 0 0.01 P detection 99 n 10910.01 10910.005 10910.995 11 919 progeny 1 1 0.52

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