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# Continuous Random Variables

When will that bus finally arrive? How hot is it going to be outside today? These any many other real-world values can be modeled by continuous random variables.

Which of the following CANNOT be the joint probability density function of two continuous random variables \(X\) and \(Y?\)

**(A):** \(f(x,y)=1\) for \(0\leq x,y\leq1.\)

**(B):** \(f(x,y)=x+y\) for \(0\leq x,y\leq1.\)

**(C):** \(f(x,y)=xy\) for \(0\leq x,y\leq1.\)

**(D):** \(f(x,y)=e^{x+y}\) for \(0\leq x,y\leq\ln2.\)

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