test has been devised to measure a student’s level of motivation during high school. The motivation scores on this test are approximately normally distributed with a mean of 25 and a standard deviation of 6. The higher the score the greater the motivation to do well in school. (a) What percentage of students taking this test will have scores above 35? (b) Malcom is told that 32% of the students taking the test have higher motivation scores than he does. What was his score?

Question
test has been devised to measure a student’s level of motivation during high school.
The motivation scores on this test are approximately normally distributed with a
mean of 25 and a standard deviation of 6. The higher the score the greater the
motivation to do well in school.
(a) What percentage of students taking this test will have scores above 35?
(b) Malcom is told that 32% of the students taking the test have higher motivation
scores than he does. What was his score?

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