SOLUTION: Based on data from the College board SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325. a. What percentage of SAT scores are less than 15

Question 1153705: Based on data from the College board SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325.
a. What percentage of SAT scores are less than 1500?
b. What percentage of SAT scores are greater than 2000?
c. A certain US college is only willing to accept applications from students who score within 2.5 standard deviations from the mean score. What range of SAT scores will be accepted for application?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd or (1500-1518)/325=-0.056
probability z<-0.056=0.4777
greater than 2000 would be z>500/325=z>1.54 This has probability of 0.0618
2.5 sds away is probability of 0.9876
This would be scores of 650 away from the mean or between 868 and 2168.
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