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(b) Now consider two different schools, C and D. Suppose that: • In school C, the fraction of students with grades below s is • In school D, the fraction of students with grades below s is 10000 Calculate the average score in each school.

(b) Now consider two different schools, C and D. Suppose that: • In school C, the fraction of students with grades below s is • In school D, the fraction of students with grades below s is 10000 Calculate the average score in each school.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer only part B

(a) Students in school A and school B took a standardised math exam. The lowest possible score is 0; the highest possible score is 100. Let f and g be the density functions for the score distributions in school A and school B, respectively. Suppose that f and g are linear functions in score (x) with the following shapes. Write down the expression for f and g. (10 points) f(x) g(x) 100 (b) Now consider two different schools, C and D. Suppose that: • In school C, the fraction of students with grades below s is • In school D, the fraction of students with grades below s is 10000 ' Calculate the average score in each school. |
Transcribed Image Text:(a) Students in school A and school B took a standardised math exam. The lowest possible score is 0; the highest possible score is 100. Let f and g be the density functions for the score distributions in school A and school B, respectively. Suppose that f and g are linear functions in score (x) with the following shapes. Write down the expression for f and g. (10 points) f(x) g(x) 100 (b) Now consider two different schools, C and D. Suppose that: • In school C, the fraction of students with grades below s is • In school D, the fraction of students with grades below s is 10000 ' Calculate the average score in each school. |
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