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In introductory statistics courses at Large State University, the times it takes students to complete their final exams are normally distributed with a mean of

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In introductory statistics courses at Large State University, the times it takes students to complete their final exams are normally distributed with a mean of , = 98 minutes and a standard deviation of o = 11 minutes. Use the figure below to answer the following questions. Area Under a Normal Curve 34% 34% 0.15% 2.35% 13.5% 13.5% 2.35% 0.15% H- 30 H - 20 H -O 1+20 1+30 68% 95% 99.7% (a) Estimate the probability that a randomly selected student will complete their final exam in less than 87 minutes. 11 X Enter a number. hould be between 0 and 1. (b) The final exam is scheduled to allow 2 hours. Estimate the probability that a randomly selected student will need more than 2 hours to complete their exam. 0.15 X (c) In a section with 160 students, how many students do you expect will need more than 2 hours to complete their exams? 24 x students

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