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An urn contains 15 red balls, 10 black balls and 25 white balls. 10 balls are...

An urn contains 15 red balls, 10 black balls and 25 white balls. 10 balls are randomly drawn. We define random variables N as the number of black balls in the extraction and B as the number of white balls in the extraction.
a) Calculate the joint density function of N and B.
b) Calculate the joint distribution function of N and B.

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