Let f(x, y) = 2xy 0
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![Let f(x, y) = 2xy 0 <x< 1,0 < x + y < 1 and let it equal 0 otherwise .
a. Show that f(x,y) is a joint probability density function.
b. Find E[X] and E[Y]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F664a72b1-5b47-4f31-a58c-fcfa7ce8bce3%2Fbd878945-4ec6-413a-b2b4-6f9c23e9839b%2Fbbn7fsi_processed.jpeg&w=3840&q=75)
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