Question

(Use a calculator for this problem)

The combined (verbal + quantitative reasoning) score on the GRE is normally distributed with mean 1066 and standard deviation 191.

(a) What proportion of combined GRE scores can be expected to be under 1100?

(b) What proportion of combined GRE scores can be expected to be over 1100?

(c) What proportion of combined GRE scores can be expected to be between 950 and 1000?

(d) What is the probability that a randomly selected student will score over 1200 points?

(e) What is the probability that a randomly selected student will score less than 1066 points?

(f) What is the percentile rank of a student who earns a combined GRE score of 1300?

(g) What is the percentile rank of a student who earns a combined GRE score of 1000?

(h) Determine the 70th percentile of combined GRE scores.

(i) Determine the combined GRE scores that make up the middle 95% of all scores.

(j) Compare the results in part (i) to the values given by the Empirical Rule.

Answer 1

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