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What is the probability that there are at most 3 students

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Reference no: EM132515049

SAT scores (out of 2400) are distributed normally with a mean of 1500 and a standard deviation of 300. Suppose a school council awards a certificate of excellence to all students who score at least 1825 on the SAT.

a) Suppose one student picked at random, what is the probability that this student will receive the school councils certificate of excellence?

b) Suppose 30 students are picked at random, what is the probability that there are at most 3 students receive the school council's certificate of excellence?

c) Use Central Limit Theorem to find the following: Suppose 100 students are picked at random, what is the probability that the average SAT score of these 100 students exceeds 1555?

Reference no: EM132515049

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