Let X and Y be jointly continuous random variables with joint probability density function: F(x) = r0) ={** 1, for 0 sxs1, 0sysi, x+y<1 TO 0, elsewhere Find the constant c.

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A: Solution: From the given information, the probability density function of X is

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A: Given X and Y are continuous random variables with a joint probability density function (pdf) of the…

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A: The total probability must be 1. So,

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A: For the above problem, the required R-code is given as below: ##First define the pdf given in the…

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A: We know that the total probability is always 1.  That means: ∫01f(x)dx=1

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