Is the following statement True or False? "If a consumer has a strongly monotone preference relation on R4, then there exists a utility function representing her preference relation." Provide a proof of your argument.
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- 2) You want to find out if there is a food preference in between two species of bats. You collect the following data. You suspect species B prefers Beetles: Bat species A Bat species B Moths 23 9 Beetles 21 33 Do both species of bat have the same food preferences? Make sure you clearly state Ho, H₁, etc. Use a = 0.05. Also clearly write out your decision and what it means.A study was conducted on some 400 employees of a certain company to establish the favorite beverage from among Coffee, Tea and Cocoa. The following was observed: 145 employees preferred Coffee, 165 preferred Tea while 185 preferred Cocoa. The number of employees who did not choose any of the three beverages was similar to those that preferred Tea and Coffee. 65 employees preferred Coffee and Cocoa. The number that indicated a preference for Coffee or Cocoa but not Tea was 180. If the number that did not indicate a preference for any of the three beverages was 55, use the information to answer the questions that follow: i.Represent the above information in a well labeled Venn diagram. ii. Obtain the number of employees that preferred Tea or Cocoa but not Coffee. iii.Calculate the number of employees that prefer at most one beverage.Suppose that Fiona likes cashews better than almonds and likes almonds better than walnuts. She likes pecans equally well as hazelnuts and prefers hazelnuts to almonds.Can we characterize Fiona’s preferences of being “complete”? Can we characterize them of being “transitive”? Justify your answer
- At a tourist place, it has been observed that: 40% of the women like to travel with a Purse, 30% of the women like to travel with a Sunglass, 35% of the women like to travel with a Watch, and it is also noted that: 12% of the women like to travel with a Purse and a Sunglass, 3% of the women like to travel with all these three luxuries, 10% of the women like to travel with a Purse and a Watch, and 8% of the women like to travel only with a Sunglass. Purse Watch Sunglass Modern women like luxury. A woman What percentages of the women like to travel with Watch only? a. 30% b. 27% ♥ What percentages of the women do not like to carry them C. 40% (Purse, Sunglass, Watch)? v What percentages of women like to travel with Purse only? v What percentages of women like to travel with both Watch f. 13% and Sunglass? d. 65% e. 15% g. 52% v What percentages of women like to travel either with Watch or with Sunglass? v What percentages of women like to travel with Sunglass only? h. 8% i. 21%The following table shows the stock market performance of 40 industries from five sectors of the U.S. economy in a certain year. (Take S to be the set of all 40 industries represented in the table.) Increased Decreased Unchanged (Z) Totals (X) (Y) Financials (F) 4 1 8. Manufacturing (M) 6. 4 4 14 Information 4 Technology (T) Health Care (H) 1 1 8. Utilities (U) 1 Totals 22 11 7 40 Use symbols to describe the event that an industry increased in value but was not in the manufacturing sector. OXn M' O X'U M' OX'n M OXUM X'n M' How many elements are in this event? 3.Customers at a café can have either a baked potato or scalloped potatoes with theirbuffalo bacon cheese ranch dressing burger if they choose to have a side order. As it turns out70% of the customers choose to have the buffalo bacon cheese ranch dressing burger. Further,25% of the customers have both the buffalo bacon cheese ranch dressing burger and the bakedpotato. Given a customer has the buffalo bacon cheese ranch dressing burger what is theprobability the customer is having the baked potato with it?
- Which is the correct answer?M12OCPS Dashboard O Tues, Mar 02: Independent Pra X K Sarah Loutfi - Independent Pra X M Verify your email address - srh X b My Questions | bartleby A web.kamihq.com/web/viewer.html?state=%7B"ids"%3A%5B"14npUclxjbYhVGxMylY6MWKGbJBGDS-19"%5D%2C"action"%3A open"%2C"userld"%3A"105426... Q * pps OCPS 9 ni 口 0 Geometry Hon.. Sarah Loutfi - Independent Practice - Student Copy-Le: トくo四 submit - 0, E SI Student Edu 156% Solve for the value of x. Round your answers to the nearest tenth. 5. 6. 7. 20 64° 41° 11 35° Page 1. 9:00 PM 3/4/2021