Let X and Y be two random variables having joint PDF f(r, y = e, 0

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Let X and Y be two random variables having joint PDF f(x, y = e=², 0 < c < ∞; 0 < y < 1 and 0
otherwise. Let Z = X+ 2Y, then where the joint density function of X and Z is non-zero, which of the
following is true?
O The joint PDF is e and X and Z are dependent
O The joint PDF is e
* and X and Z are dependent
O The joint PDF is
* and X and Z are independent
The joint PDF is e and X and Z are dependent
Transcribed Image Text:Let X and Y be two random variables having joint PDF f(x, y = e=², 0 < c < ∞; 0 < y < 1 and 0 otherwise. Let Z = X+ 2Y, then where the joint density function of X and Z is non-zero, which of the following is true? O The joint PDF is e and X and Z are dependent O The joint PDF is e * and X and Z are dependent O The joint PDF is * and X and Z are independent The joint PDF is e and X and Z are dependent
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