Question: Let X 1 .. X n 1 , Y 1 ... Y n 2 be independent random variables and ( X i ) i as

Let X1 .. Xn1 , Y1 ...Yn2 be independent random variables and (Xi )i as as (Yi )i each identically distributed with XN(1,12) and YN(2,22)

a) Derive the distribution of YX

b) Then standardize this difference (info : to N(0,1) i assume) and determine its distribution

(info : Derive/Determine = provide a simple proof)

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