The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the gure. (a) What is the minimum UGPAthat would still place a student in the top 15% of UGPAs'? (b) Between what two values does the middle 50% of the UGPAs lie? I' 3-32 c: 0.1 2.64 3.32 4 Grade point average (a) The minimum UGPAthat would still place a student in the top 15% of UGPAs is (Round to two decimal places as needed.) (b) The middle 50% of UGF'As lies between on the low end and I: on the high end. (Round to two decimal places as needed.) .03 Acertain brand ofautomobile tire has a mean life span of 39,000 miles and a standard deviation of 2,050 miles. (Assume the life spans of the tires have a bellshaped distribution.) E> (a) The lite spans of three randomly' selected tires are 35,000 miles, 38,000 miles, and 32,000 miles. Find the zscore that corresponds to each life span. For the life span of 35,000 miles, zscore is :|. (Round to the nearest hundredth as needed.) For the life span of 38,000 miles, zscore is :|. (Round to the nearest hundredth as needed.) For the life span of 32,000 miles, zscore is :|. (Round to the nearest hundredth as needed.) According to the zsoores, would the lite spans of an)r of these tires be considered unusuai? OYes ONO (b) The lite spans of three randomly' selected tires are 34,900 miles, 43,100 miles, and 39,000 miles. Using the empirical mle, find the percentile that corresponds to each life span. The life span 34,900 miles corresponds to a percentile of The life span 43,100 miles corresponds to a percentile of The life span 39,000 miles corresponds to a percentile of (Round to the nearest whole number as needed.)