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2. It has been determined that the distribution of monthly allowances among high school studeni: in Ma larlcey County is approximately normal; with the mean ,1: = S44. and a standard deviation of or = $5.40 . Patty E'Doherty receiy an allowanoe of SSEDD, but she wants an increase. Patty has told her parents that \"lois of kids get more than I do!" In addition to completing each problem, draw on appropriate sketch with shading; snow the calculatorcantirtiuonor used to obtain your answer. a} What percent of the studeni: in Malarkey County get a higher allowance than Patty? h] The Student Government Association {SEA} at Malarkey High School has decided that any student whose monthly allowance puts them in the bottom mat. of the population should be allowed to get in free to SEA danc. What is the highest monthly allowance that will qualify a student to get in free?r c] The SEA has had many debates about allowances. Jane, who is the SEA statistician, has grown tired of li'eouent claims such as "most students get more than I do" or "she get: more allowance than anybody". Jane has decided to define \"most" as the middle 90% of the studenis. Calculate the range of monthly allowances that will include \"most\" of the students. d] Describe the u pper quartile of allowances for h igh school stud ents in Malarkey County