5) A certain standardized test has scores which range from 0 to 500, with decimal scores...
5) A certain standardized test has scores which range from 0 to 500, with decimal scores possible. Scores on the exam are normally distributed with a mean of 319 and a standard deviation of 46.
What proportion of students taking the exam receive a score greater than 368?
Round your answer to 4 decimal places.
Homework Answers
Solution :
Given that ,
mean = 
= 319
standard deviation = 
= 46
P(x > 368) = 1 - P(x < 368)
= 1 - P[(x -
) /
< (368 - 319) / 46)
= 1 - P(z < 1.0652)
= 1 - 0.8566
= 0.1434
proportion = 0.1434
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