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Statistics Normal Distribution

Question (1)
Scores on WAIS approximate a normal curve with a mean of 100 and standard deviation of 15. What proportion of scores are
(i) Above 125 ?
(ii) Below 82 ?
(iii) Within 9 points of the mean ?
(iv) More than 4o points from the mean ?

Question (2)
Scores on WAIS test approximately normal with a mean of 100 and standard deviation of 15. What IQ score is identified with:

(i) the upper 2 %
(ii) the lower 10 %
(iii) the middle 95 %
(iv) the middle 99 %

Question (3) :
Admission to a State University depends partially on the applicant's School GPA.
Assume that GPA's approximate a normal curve with the mean of 3.20 and standard deviation of 0.30.
(i) If applicants with GPA's of 3.50 are automatically admitted, what proportion of applicants will be in this category
(ii) If the applicants with GPA's 2.50 or below are automatically denied admission, what proportion will be in this category.
(iii) Special honors program is open to all applicants with GPA's of 3.75 or better, what proportion will be in this category.
(iv) If the special honors program is limited to students whose GPA's rank in the upper 10 % , what GPA will be required for admission to this program.

For full description of questions, please see the attached file.

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Solution Summary

The solutions to the problems in attachment are given with each detailed step so that the student could easily understand the solution and work out other similar problems on his own.

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