# SOLUTION: A random sample of 100 students who took a statistics exam were asked their score on the exam. The mean score on the test was 50; the standard deviation was 10. The scores are no

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: A random sample of 100 students who took a statistics exam were asked their score on the exam. The mean score on the test was 50; the standard deviation was 10. The scores are no      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Probability-and-statistics Question 126062: A random sample of 100 students who took a statistics exam were asked their score on the exam. The mean score on the test was 50; the standard deviation was 10. The scores are normally distributed. A) What percent of the students scored below 30? B) What percent scored between 30 and 55? Answer by stanbon(57356)   (Show Source): You can put this solution on YOUR website!A random sample of 100 students who took a statistics exam were asked their score on the exam. The mean score on the test was 50; the standard deviation was 10. The scores are normally distributed. A) What percent of the students scored below 30? Find the t-score 30 t(30) = (30-50)/10 = -2 Find Prob(t<-2); you get 0.0241.. ---------------------------- B) What percent scored between 30 and 55? t(55) = (55-30) / 10 = 2.5 t(30) = (30-30) / 10 = 0 P(0 < t < 2.5) = 0.4929.. ======================== Cheers, Stan H.