SOLUTION: 5.2.17 Use the normal distribution of SAT critical reading scores for which the mean is 504 and the standard deviation is 112. Assume the variable x is normally distributed.

Algebra ->  Probability-and-statistics -> SOLUTION: 5.2.17 Use the normal distribution of SAT critical reading scores for which the mean is 504 and the standard deviation is 112. Assume the variable x is normally distributed.       Log On


   

Question 1118000: 5.2.17
Use the normal distribution of SAT critical reading scores for which the mean is 504 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 675​?
If 1000 SAT verbal scores are randomly​ selected, about how many would you expect to be greater than 525​?
Approximately
_____% of the SAT verbal scores are less than 675.
​(Round to two decimal places as​ needed.)
Answer by Boreal(15235) About Me  (Show Source):
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mean 504 sd 112
z<(675-604)/112
z<1.53
probability is 0.9370
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greater than 525
(525-504)/112 so z>0.1875
probability is 0.4256. Rounding upward, it would be 426 scores.
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93.70% are < 675