Prove if X~ N (1₁0) for M being any real number upe &o is greater than Zero, then Z= = (X-M) Satofies ZN (0,1) (x-4)²

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Please explain and prove using the definitions provided. There should be a use of an integral in the answer. NOTE: I’m not looking for the values of variance or expected value being 0 and 1.
Prove if X~ N(4,0) for M being any real number
suje
& o is greater than Zero, then 7 = 6(x-μ) Satsers
ZN (0,1) 16
-(x-4)²
b
P(a≤x≤ b) = f(x) do
75
flo=
капо
Ja
let uz l
(₁)
-e
(201²
Transcribed Image Text:Prove if X~ N(4,0) for M being any real number suje & o is greater than Zero, then 7 = 6(x-μ) Satsers ZN (0,1) 16 -(x-4)² b P(a≤x≤ b) = f(x) do 75 flo= капо Ja let uz l (₁) -e (201²
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