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September 4, 2015

Homework Help: statistics

Posted by Joanne on Monday, August 4, 2008 at 9:17pm.

SAT scores are normally distributed. The SAT in English has a mean score of 500 and a standard deviation of 100.
a. Find the probability that a randomly selected student's score on the English part of the SAT is between 400 and 675.
b. What is the minimum SAT score that a student can receive in order to score in the top 10%?
c. Forty-nine students are sampled. Find the probability that their mean score for the SAT is less than 470.

I have the following answers, but do not know how they were derived:
a. 0.8013
b. 628
c. 0.0179

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