Scores on the Mathematics section of the SAT Reasoning Test form a normal distribution with a mean of m=500 and a standard deviation of σ=100. a. If the college only accepts students who score in the top 60% on this test, what is the minimum score needed for admission? b. What is the minimum score necessary to be in the top 10% of the distribution? c. What scores form the boundaries for the middle 50% of the distribution?
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Population mean,
μ
=
500
μ=500
Population standard deviation,
σ
=
100
σ=100
{eq}P(X > x) = 0.55\\ P(X \le x) = 1 - 0.55\\ P(X...
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