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#MuhammadUsman #Statistics #OnlineClasses #StatisticsTutorials #EasyStatistics #QualityEducation #MuhammadUsmanStatistician #ICS #BS #BBA #BSCS #BSIT #MCOM #KnowledgeIsPower #QualityEducation #ppsc #ppsctest #ppsctestprepration #ppscjobs .............................................................................................................................................. Q6(a): In a normal distribution μ=30 and σ = 5. Find (i) a point that has 15% area below it. (ii) a point that has 28% area above it. (iii) two points containing middle 95% area. (b) The time required by a nurse to inject a shot of penicillin has been observed to be normally distributed, with mean of μ=30 seconds and a standard deviation of σ = 10 seconds. Find the (i) 10-th percentile, i.e., x0.10 (ii) 90-th percentile, i.e., x0.19 (c) Scores on a national education achievement test are normally distributed with μ =500 and σ =100. (i) What is the 95-th percentile of this distribution? (ii) What are the lower and upper quartiles of this distribution? (iii) If the university decides to accommodate the 40 percent of the students with the highest scores, what is the score that separates the successful applicants with unsuccessful? .............................................................................................................................................. ..............................................................................................................................................