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Math 1530 Chapter 5
Review Problems
1. A banks loan officer rates applicants for credit. The ratings are normally distributed with a
mean of 200 and a s.d. = 20.
A. If an applicant is randomly selected, find the probability of a rating that is between 180
and 225.
B. If an applicant is randomly selected, find the probability of a rating that is below 215.
C. If an applicant is randomly selected, find the probability of a rating above 240.
D. Find P70, i.e. the score which separates the lower 70% from the top 30%.
E. If a group of 36 applicants is randomly selected, find the probability of a mean rating
between 202 and 212.
F. If a group of 100 applicants is randomly selected, find the probability of a mean rating
greater than 198.
2. An educational testing corporation has designed a standardized test of mechanical aptitude.
Scores on this test are normally distributed with a mean = 75 and s.d. = 15.
A. If a subject is randomly selected and tested, find the prob...

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