Use the normal distribution of SAT critical reading scores for which the mean is
ID: 3268277 • Letter: U
Question
Use the normal distribution of SAT critical reading scores for which the mean is 509 and the standard deviation is 123.
(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 575?
(a) Approximately % of the SAT verbal scores are less than 600. (Round to two decimal places as needed.)
(b) You would expect that approximately SAT verbal scores would be greater than 575. (Round to the nearest whole number as needed.)
Explanation / Answer
a) P(X < 600)
= P(z < (600 - 509)/123)
= P(z < 0.74)
= 0.7703
Hence,
The answer is 77.03%
b) P(X > 575) = 0.296
Hence,
We would expect 296 students to have a score greater thn 575.