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- Suppose that 15% of a Canadian wholesaler’s food products are gluten-free. Furthermore, 70% of its products are peanut-free. Assume that the use of nuts and gluten-containing products are independent. 1. (a) What percentage of this wholesaler’s products contain at least one of the two allergens? (b) What percentage of this wholesaler’s products are allergen-free? 2. What percentage of this wholesaler’s products contain peanuts but no gluten?In a study of pain relievers, 25 people were given product A, and all but 7 experienced relief. In the same study, 100 people were given product B, and all but 20 experienced relief. Fill in the blanks below to make the most reasonable statement possible. Product A or B performed better in the study. That is because only ____ % failed to get relief with this product, whereas _______% failed to get relief with Product A or BIn a study of pain relievers, 20 people were given product A, and all but 5 experienced relief. In the same study, 50 people were given product B, and all but 16 experienced relief. Fill in the blanks below to make the most reasonable statement possible. Product A or B performed worse in the study. That is because ____ % failed to get relief with the product, wheares only ____ % failed to get relief with product A or B
- In the current pandemic, researchers are working on creating antibody tests to determine which individuals have already had an infection caused by the COVID-19 virus. If someone has been infected, then they will have certain antibodies in their system and the hope is that a highly accurate test can be created to detect these antibodies. Assume a researcher creates a new antibody test, which for individuals who are known to have had the infection in the past and thus truly have the COVID-19 antibodies, gives a positive result 95% of the time. This same test gives a negative result 90% of time for people who do not have the antibodies. Assume that COVID-19 has affected 5% of the population in the region of interest. What is the probability someone has NOT been infected previously given that their antibody test result comes back positive? [four decimals]SO what would be the L, Lq, and Wq of this problem? Assuming we are trying to develop and sovle a waiting line system that can accomodate this increased leel of passenger traffic.Dogs are inbred for such desirable characteristics as blue eye color; but an unfortunate by-product of such inbreeding can be the emergence of characteristics such as deafness. A 1992 study of Dalmatians (by Strain and others, as reported in The Dalmatians Dilemma) found the following: (i) 31% of all Dalmatians have blue eyes. (ii) 38% of all Dalmatians are deaf. (iii) 42% of blue-eyed Dalmatians are deaf. Based on the results of this study is "having blue eyes" independent of "being deaf"? No, since .31 * .38 is not equal to .42. No, since .38 is not equal to .42. No, since .31 is not equal to .42. Yes, since .31 * .38 is not equal to .42. Yes, since .38 is not equal to .42. Submit QuestionQuestion 13
- Do the signs of the coefficients of the various nondummy regressors make economic sense?Justify your answer.It is known that 86% of persons with insomnia also have reported a problem with fatigue. Dr.Delgado’s patient Bob reports no problem with fatigue.a. Based on this information, should Dr. Delgado decide that Bob has insomnia? Explainyour answer. b. If further testing reveals that Bob does have insomnia, explain how the previous decisionin part (a) of this problem could have occurred.In a study of pain relievers, 25 people were given product A, and all but 6 experienced relief. In the same study 100 people were given product B, and all but 18 experienced relief. Product ? performed worse in the study because ?% failed to get relief with this product, whereas only ?% failed to get relief with Product ?
- The gene ACTN3 encodes a protein that assists fast-twitch muscles. The three possible genotypes are RR, RX, and XX. Genotype was assessed in three groups: non-athletes, elite sprinters, and elite endurance runners. RR RX XX Total Non-athletes 130 226 80 436 Sprinters 53 48 6 107 Endurance 60 88 46 194 Total 243 362 132 737 Calculate P(XX | sprinter) Is genotype independent of group? Justify your answer with an appropriate equality or inequality between two probabilities.An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelectronic firms: A, B, and C. The quality-control department of the company has determined that 5% of the microprocessors produced by firm A are defective, 9% of those produced by firm B are defective, and 7.5% of those produced by firm C are defective. Firms A, B, and C supply 35%, 30%, and 35%, respectively, of the microprocessors used by the company. What is the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor?An Army Commanding Officer has a patrol duty roster for 2 combat team and flip a coin for any combat team that to go patrol duty, this coin may or may not be fair. The results of 30 patrol duty of the 2 combat team Blue (B) and Red (R) accrording to those coin are B B R B R B B R B B R B B R B R B B B R R R R R B B B B B R. Using the critical value approach, appropriate conclusion is ________. A) do not reject the null hypothesis; we cannot conclude the coin is not fair B) reject the null hypothesis; we can conclude the coin is not fair C) reject the null hypothesis; we cannot conclude the coin is not fair D) do not reject the null hypothesis; we can conclude the coin is not fair Explaine your answer