Question

Normal Probability Distribution Instructions: Read the scenario and answer the questions below. Round al probablities and proportions to 4 dedimal places The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with mean 150 and standard deviation 8.8. (Source:www.ets.org). A grad school requires that students score above 160 to be admitted. 1. What proportion of combined GRE scores can be expected to be over 1607 1607 between 155 and 160? over 145 points? 2. What proportion of combined GRE scores can be expected to be under 3. What proportion of combined GRE scores can be expected to be 4. What is the probability that a randomly selected student will score 5. What is the probability that a randomly selected student will score less than 150 points? score of 1427 quantitative GRE score is at least at the 61t percentile. (Source: GRE score of the students they admit? 6. What is the percentile rank of a student who earns a quantitative GRE 7. Historically, Depart of History at NYU has admitted students whose admissions.faq.html.) What is the lowest 8. Determine the 80 percentile of combined GRE scores 9. Determine the combined GRE scores that make up the middle 95% of all scores? Use the standard normal distribution to determine the following: 68% of the scores lie between what two values? 95% of the scores lie between what two values? 99% of the scores lie between what two values?

Answer 1

X> 60 8.8 - 0. 1271 8-8 0. 87 29 160-150 〉 8.8 0.8729-0.7157 O.1572 10.5000