The combined SAT scores for the students at a local high school are normally distributed with a mean of 1517 and a standard deviation of 307. The local college includes a minimum score of 1179 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?
P(X > 1179) = %
Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Solution :
Given that,
mean = = 1517
standard deviation = = 307
P(x >1179 ) = 1 - P(x<1179 )
= 1 - P[(x -) / < (1179-1517) / 307]
= 1 - P(z < -1.101)
Using z table
= 1 - 0.1354
=0.8646
answer=86.5
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