Use the normal distribution of SAT critical reading scores for which the mean is 506 and the standard deviation is 112. Assume the variable x is normally distributed. left parenthesis a right parenthesis What percent of the SAT verbal scores are less than 600? left parenthesis b right parenthesis If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525?
= 506 , = 112
We convert this to standard normal as
P( X < x) = P( Z < x - / )
P( X < 600) = P( Z < 600 - 506 / 112)
= P( Z < 0.8393)
P( X > 525) = P( Z > 525 - 506 / 112)
= P( Z > 0.1696)
Of the 1000 scores we expect 0.4327 * 1000 = 432.7 433 Scores greater than 525.
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