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UFM Statistics
Linear combinations of normal random variables
Q1
CAIE S2 2005 June — Question 1
Exam Board
CAIE
Module
S2 (Statistics 2)
Year
2005
Session
June
Topic
Linear combinations of normal random variables
Type
Linear transformation to achieve target parameters
1 Exam marks, \(X\), have mean 70 and standard deviation 8.7. The marks need to be scaled using the formula \(Y = a X + b\) so that the scaled marks, \(Y\), have mean 55 and standard deviation 6.96. Find the values of \(a\) and \(b\).
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