17- The random variables X and Y are independent and both have the uni.pdf

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17. The random variables X and Y are independent and both have the uniform distribution on [ 0 , 1 ] . Let Z = I X Y . Prove that. for real , ( Z , ) = 2 [ 1 + i e i ] /2. Hence deduce the general expression for E ( Z n ) ..

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2. There are two variants of an X-linked gene in a population, neither of which has an impact on health. a. The frequency of the dominant allele is 0.4 in that population. Showing your calculations, determine the genotypic and phenotypic frequencies of a population at equilibrium. (5 marks) b. A man from the above population, who has the recessive phenotype, moves to a country where the frequency of the dominant allele is 0.2 . I. What is the probability that he will choose a mate who is a carrier? (2 Marks) II. What is the probability that they would have a child with the recessive phenotype? Show your work. ( 2 marks).

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2. Splitting and combining strings a. Split the "veggies* string into three strings, the first and second and third favorites. Save the resulting as * *eggies.list*, and display it. Verify using R conmands that vegies.list is in fact a list. Show how you access your second favorite veggie in this list. { r } b. Now use a single R command to split the "VeggiesandFruits" vector into a list of two elements, with each entry containing three strings. Show how you access your second favorite fruit in this list..

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2. Max and Ruby are partners in a business sharing profit and loss in the ratio 3 : 1 . Their trial balance as at December 31, 2015 was as follows: The following additional information is also available: i. Stock at December 31,2015 is $120 , 000 ii. Interest on capital is to be paid at 5% iii. Interest on drawings is to be charged at 5% iv. Commission received is prepaid by $2 , 500 v. Provide for depreciation of fixtures 10% using the reducing balance method, and motor vehicle at 10% using the straight-line method. vi. Ruby is to be paid a salary of $10 , 000 Prepare Max and Ruby's statement of profit or loss and appropriation account, their current accounts, and the statement of financial position extract showing equity only..

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12.B Reflective Short-Answer Exercises You are assisting residents in the common dining room during mealtime. Damon, one of your residents, Scenario 1: starts coughing violently. He stands up and starts walking to his room. By the time he gets to his room, you hear his cough getting weaker. As you approach, he shakes his head no, indicating that he does not want your help. You notice that his face has become red, and he has a high-pitched wheeze. 1. Why would Damon walk away during a potentially life-threatening situation? 2. Should you give him his privacy? Why or why not? 3. Should you attempt to start abdominal thrusts when he first starts coughing? Why or why not? 4. Did Damon originally have a partial or complete obstruction? 5. What are the signs of a partial obstruction? 6. What type of obstruction did he ultimately have? 7. What are the signs of a complete obstruction? 8. When should you have activated EMS?.

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13. A pure oulture A. is sherino; B. is a population of identicat celts. C. is made of a cleaty defined chemical medium: O. eantains one mierabial ceif. 74. The theory of apontaneous generation was refuted by the work of A. Lows Piesteur: 0. Robert Koch; C. Robart Hooke. D. Antoni van Loeewentoek. 15. Transparent double-sided dishes used for growing microbes are most commonly called A. Petri dishes; B. boker dishos, C. sterilization plates; D. eulhure medium plates. 16. A microbial cells membrane is considered because its internal constituents are maintained within the cell. However, it also imports and exports other molecules in response to its environment. A. differential: B. microselective; C. nigid: D. semipemeable. 17. Which of the following statements is TRUE? A. Fimbriae are generally longer and less numerous than flagella. B. Fimbriae are involved in genetic exchange between celis. C. Hami are common in Bacteria but not found in Archaea. D. Fimbriae are usually shorter than flagella, whereas pili are involved in genetic exchange. In whathwich domain(s) of life is/are microorganisms represented? A. Archaea B. Bacterla C. Eukarya D. Archaea, Bacteria, and Eukarya.

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13. (10 pts.) Explain and give examples of the four broad classification of protozoans in the kingdom Protista. 14. (10 pts.) What are the two possible development stages of protozoans? In which these stages are the majority of protozoan infections transmitted from host to host? Give 3 specific examples. Eukaryotes: Fungi 15. ( 5 pts .) Illustrate and describe the 5 types of asexual fungal spores and 3 types of sexual fungal spores. 16. (10 pts.) In which stage of their life cycle are the majority of fungal infections spread? Give 4 specific examples. Eukaryotes: Helminths 17. ( 5 pts.) Discuss several differences between platyhelminthes (flatworms) and aschelminthes (round worms). 18. (10 pts.) List and describe 4 different nematode diseases, emphasize the mode of transmission for each..

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12. Increase in the aggregate demand and long-run aggregate supply curves Consider the dynamic aggregate demand and aggregate supply diagram for a hypothetical economy. Between 2041 and 2042 , the aggregate demand curve ( A D ) shifts from A D 1 to A D 2 , the short-run aggregate supply curve (SRAS) shifts from SR A S 1 to SR A S 2 , and the long-run aggregate supply curve ( L R A S ) shifts from L R A S 1 to L R A S 2 . The inflation rate between 2041 and 2042 is The growth rate of full-employment output between 2041 and 2042 is Which of the following best explains the economic developments from 2041 to 2042 ? The economy experienced cost-push inflation. The economy operated at full-employment output in 2041 , but the subsequent increase in aggregate demand was not enough to restore the economy to full- employment output, leading to a recessionary gap in 2042. A strong increase in aggregate demand allowed the economy to grow out of a recessionary gap in 2041 to full employment in 2042. Which of the following are possible reasons for the rightward shift of the LRAS curve between 2041 and 2042 ? Check all that apply. The accumulation of capital such as factories, equipment, and machinery An increase in the size of the labor force An increase in consumption spending.

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12. A hungry yeast cell lands in a vat of grape juice and begins to feast on the sugars there, producing carbon dioxide and ethanol in the process: C 6 H 12 O 6 + 2 ADP + 2 P i + H + 2 CO 2 + 2 CH 3 CH 2 OH + 2 ATP + 2 H 2 O Unfortunately, the grape juice is contaminated with proteases that attack some of the transport proteins in the yeast cell membrane, and the yeast cell dies. Which of the following could account for the yeast cell's demise? A. toxic buildup of carbon dioxide inside the cell B. toxic buildup of ethanol inside the cell C. diffusion of ATP out of the cell D. inability to import sugar into the cell.

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