Random variable

i-r-e

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I have the random variable X : (Ω;A)->(R;B(R)) and Y : (Ω;A)->(R,B(R)), where A is a sigma-algebra and for almost every b X(b)=Y(b).
Is Y a random variable?
I read that Y isn't a random variable but I don't understand why.
Please help
 
I have the random variable X : (Ω;A)->(R;B(R)) and Y : (Ω;A)->(R,B(R)), where A is a sigma-algebra and for almost every b X(b)=Y(b).
Is Y a random variable?
I read that Y isn't a random variable but I don't understand why.
Please help
According to your text-book/notes:

What is a "random variable" (definition)? What are its properties?​
 
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