Question: 13. The joint cumulative distribution function for (X,Y) is given by Fx; y 1 ex=10 ey=2 ex5y=10 I0;1 xI0;1

13. The joint cumulative distribution function for (X,Y)

is given by Fðx; yÞ ¼ 1  ex=10  ey=2 þ eðxþ5yÞ=10   Ið0;1Þ ðxÞIð0;1Þ ðyÞ:

a. Find the joint density function of (X,Y).

b. Find the marginal density function of X.

c. Find the marginal cumulative distribution function of X.

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