A large group of students took a test in Physics and the final grades have a mean of 70 and a standard deviation of 10. The passing score is 60. The distribution is approximately normal. Using the 68-95-99.7 (empirical) rule, find the percentage of the students (a) scored between 60 and 80. (b) scored between 50 and 90. (c) higher than 80. (d) should pass the test.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A large group of students took a test in Physics and the final grades have a mean 
of 70 and a standard deviation of 10. The passing score is 60. The distribution is 
approximately normal. Using the 68-95-99.7 (empirical) rule, find the percentage 
of the students
(a) scored between 60 and 80.
(b) scored between 50 and 90.
(c) higher than 80. 
(d) should pass the test.

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