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Christopher
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Tim
Tim
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Can a Randomrandom variable be a deterministic function of another Random variableother random variables yet be independent of itthem?

I was confused by what it means when a Random variable is a deterministic function of another Random variable yet is independent of it  ? .HowHow is this possible?

Here's the question .: Consider three random variables X,Y$X,Y$ and Z$Z$ such that Z$Z$ is independent of X$X$ and of Y$Y$ and is a deterministic function of (X,Y)$(X,Y)$. Is H(Z)=0 $H(Z)=0$? If so prove it ;it; if not  , give a counter example

Thanking You.

Can a Random variable be a deterministic function of another Random variable yet be independent of it

I was confused by what it means when a Random variable is a deterministic function of another Random variable yet is independent of it  ? .How is this possible?

Here's the question . Consider three random variables X,Y and Z such that Z is independent of X and of Y and is a deterministic function of (X,Y). Is H(Z)=0 ? If so prove it ; if not  , give a counter example

Thanking You

Can a random variable be a deterministic function of other random variables yet be independent of them?

I was confused by what it means when a Random variable is a deterministic function of another Random variable yet is independent of it? How is this possible?

Here's the question: Consider three random variables $X,Y$ and $Z$ such that $Z$ is independent of $X$ and of $Y$ and is a deterministic function of $(X,Y)$. Is $H(Z)=0$? If so prove it; if not, give a counter example.

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Christopher
Christopher
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I was confused by what it means when a Random variable is a deterministic function of another Random variable yet is independent of it ? .How is this possible?

Here's the question . Consider three random variables X,Y and Z such that Z is independent of X and of Y and is a deterministic function of (X,Y). Is H(Z)=0 ? If so prove it ; if not , give a counter example

Thanking You

I was confused by what it means when a Random variable is a deterministic function of another Random variable yet is independent of it ? .How is this possible?

Thanking You

I was confused by what it means when a Random variable is a deterministic function of another Random variable yet is independent of it ? .How is this possible?

Here's the question . Consider three random variables X,Y and Z such that Z is independent of X and of Y and is a deterministic function of (X,Y). Is H(Z)=0 ? If so prove it ; if not , give a counter example

Thanking You

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Christopher
Christopher
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