Math Problem Statement
Practical 5 (1).docx
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4th question in this document
Solution
The 4th question in the document is:
"If the MGF of X is given, find the mean and variance of X.".
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Math Problem Analysis
Mathematical Concepts
Moment Generating Function (MGF)
Mean
Variance
Probability Theory
Formulas
MGF: M_X(t) = E[e^(tX)]
Mean: E[X] = M_X'(0)
Variance: Var(X) = M_X''(0) - (M_X'(0))^2
Theorems
Moment Generating Function (MGF) Theorem
Suitable Grade Level
Grades 10-12
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