SOLUTION: On a particular section of a CPA exam for which the scores were normally distributed with a mean of 600 points and a standard deviation of 70 points. a) What percent of the

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Question 626544: On a particular section of a CPA exam for which the scores were normally distributed with a mean of 600 points and a standard deviation of 70 points.

a) What percent of the students scored lower than 630 on the exam?

b) What percent of the students scored between 630 and 730 on the exam?

c) What percent of the students scored between 600 and 700 on the exam?
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
a. +P%28X+%3C+630%29+=+P%28Z+%3C+%28630-600%29%2F70%29+
= P(Z < 0.4286)
= 66.59%
b. +P%28630+%3C+X+%3C+730%29+=+P%28+%28630-600%29%2F70+%3C+Z+%3C+%28730-600%29%2F70+%29
= +P%28+0.4286+%3C+Z+%3C+1.8571%29+
= 30.25%
c. +P%28600+%3C+X+%3C+700%29+=+P%28+%28600-600%29%2F70+%3C+Z+%3C+%28700-600%29%2F70+%29
= +P%28+0+%3C+Z+%3C+1.4286%29+
= 42.34%