The random variables x and y are distributed according to the joint PDF

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To find the joint probability density function (PDF) of random variables x and y, we need more information. The joint PDF describes the probability of x and y taking on specific values simultaneously.

Typically, the joint PDF is expressed as f(x, y) or p(x, y). This function must satisfy certain conditions, such as non-negativity and integration over the entire range of x and y that equals to 1.

If you have the joint PDF, you can find probabilities of events or calculate expected values by integrating over the desired region.

If you provide the joint PDF or any additional information about x and y, I can assist you further in understanding their distribution and properties.

To help you better, could you please provide the details of the joint probability density function (PDF) of the random variables x and y?