Question

A national placement test has scores that are normally distributed with a mean of 500 and a standard deviation of 100.

a) A certain college requires a minimum score of 600. What percent of students would meet that criteria?

b) A different college will accept only the top 10%. What is the college’s cutoff score?

Answer #1

Let X denotes the score of a randomly selected student in a national placement test.

X ~ Normal(500, 100^{2})

a) The percentage of students that would meet that criteria

b) To find x such that

(ans)

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