If R.V. A is independent of a random vector (B,C), is A necessarily independent of C?
If random variable A is independent of random vector (B,C), is A independent of C?
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5Write down the definition of independence, and you will successfully formalize a result quite intuitively obvious (if you are independent of what happens to $(B,C)$, you are independent of what happens to $C$). – 2012-10-22
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0By the way, welcome to math.stackexchange. – 2012-10-22
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0Thank you, I integrated both sides of the definition over variable B to get the result. – 2012-10-22
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2You can answer your own question. – 2012-10-22