Question

Scores on the verbal Graduate Record Exam​ (GRE) have a mean of 453 and a standard deviation of 122. Scores on the quantitative GRE have a mean of 651 and a standard deviation of 157. A perfect score on either exam is 800. Assuming the scores are normally​ distributed, what percentage of students score 800 on the quantitative​ exam?

The percentage of students that score 800 on the quantitative exam is approximately _% (Round to the nearest percent as​ needed.)

Standard Scores and Percentiles for a Normal Distribution Z-score Percentile z -score Percentile Z-score Percentilez-score Percentile -3.5 0.02 -1.0 15.87 0.0 50.00 1.1 86.43 -3.0 0.13 -0.95 17.11 0.05 51.99 1.2 88.49 0.19 -0.90 18.41 0.10 53.98 13 90.32 -2.9 -2.8 -2.7 0.26 -0.85 0.15 91.92 19.77 21.19 0.35 -0.80 0.20 55.96 57.93 59.87 93.32 -2.6 0.47 -0.75 0.25 1.6 1.7 94.52 95.54 -2.5 0.62 -0.70 0.30 22.66 24.20 25.78 2743 61.79 63.68 -24 0.82 -0.65 0.35 1.8 96.41 -2.3 1.07 -0.60 0.40 1.9 97.13 -2.2 1.39 29.12 0.45 6554 6736 69.15 2.0 -0.55 -0.50 97.72 -2.1 1.79 30.85 0.50 2.1 98.21 -2.0 2.28 -0.45 32.64 0.55 70.88 2.2 98.61 -1.9 2.87 -0.40 34.46 0.60 2.3 98.93 7257 74.22 -1.8 3.59 -0.35 36.32 0.65 2.4 99.18 -1.7 4.46 -0.30 38.21 0.70 75.80 25 99.38 -1.6 5.48 -0.25 40.13 0.75 77.34 2.6 99.53 -1.5 6.68 -0.20 42.07 0.80 78.81 99.65 99.74 -1.4 8.08 -0.15 44.04 0.85 80.23 -1.3 9.68 -0.10 46.02 81.59 99.81 -1.2 11.51 -0.05 0.90 0.95 1.0 82.89 48.01 50.00 99.87 -1.1 13.57 0.0 84.13 99.98

Answer 1

Saluhoni l1=453 (vesbal) 122 l631 (Quortitake ) Plx> 8o0) - f(ス>x- s Plz 800-51) 0.95) -1 O.131 13