Use the normal distribution of SAT critical reading scores for which mean is 503

Question

Use the normal distribution of SAT critical reading scores for which mean is 503 and the standard deviation is 124. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 600? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525? (a) Approximately % of the SAT verbal scores are less than 600. (Round to two decimal places as needed.) (b) You would expect at approximately SAT verbal scores would be greater than 525. (Round to nearest whole number as needed.)

Explanation / Answer

b) P(X > 525)

= P(z > (525 - 503) / 124)

= P(z > 0.18)

= 0.430

Hence,

If we randomly select 1000 SAT verbal scores, we would expect thatt approximately 430 SAT verbal scores will be greater than 525.

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