Question

The combined SAT scores for the students at a local high school
are normally distributed with a mean of 1456 and a standard
deviation of 304. The local college includes a minimum score of
1851 in its admission requirements.

What percentage of students from this school earn scores that fail
to satisfy the admission requirement?

Answer #1

The combined SAT scores for the students at a local high school
are normally distributed with a mean of 1456 and a standard
deviation of 304. The local college includes a minimum score of
1851 in its admission requirements.

What percentage of students from this school earn scores that fail
to satisfy the admission requirement?

z = (x-µ)/σ

z value for 1851, z = (1851-1456)/304 = 1.30

P( x < 1851) = P( z < 1.30) = 0.9032 ( from standard normal distribution)

percentage of students from this school earn scores that fail to
satisfy the admission requirement **=90.32%**

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