SOLUTION: The combined SAT scores for the students at a local high school are normally distributed with a mean of 1548 and a standard deviation of 299. The local college includes a minimum s

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Question 667031: The combined SAT scores for the students at a local high school are normally distributed with a mean of 1548 and a standard deviation of 299. The local college includes a minimum score of 2266 in its admission requirements.
What percentage of students from this school earn scores that fail to satisfy the admission requirement?
P(X < 2266) = %
Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
I tried 2266-1548/299
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1548 and a standard deviation of 299. The local college includes a minimum score of 2266 in its admission requirements.
What percentage of students from this school earn scores that fail to satisfy the admission requirement?
P(X < 2266) = %
Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
z = (2266-1548)/299 = 2.4013
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P(x < 2266) = P(z < 2.4013) = normalcdf(-100,2.4013) = 0.9918
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Cheers,
Stan H.
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