Let f(x,y) is a joint probability density function of (X,Y) continuous random variable as below. (6 – x – y) 0 < x< 2,2 < y < 4 f(x,y)= otherwise a) P(X< 1,Y < 3)=? b) P(X< 1/Y < 3)=? c) Find the marginal density functions of X and Y. d) Find the joint probability distribution function.

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5. Let f(x,y) is a joint probability density function of (X,Y) continuous random variable as
below.
(6 — х — у)
0 <x < 2,2 < y< 4
f(x,y)=
otherwise
a) P(X< 1,Y < 3)=?
b) P(X< 1/Y < 3)=?
c) Find the marginal density functions of X and Y.
d) Find the joint probability distribution function.
Transcribed Image Text:5. Let f(x,y) is a joint probability density function of (X,Y) continuous random variable as below. (6 — х — у) 0 <x < 2,2 < y< 4 f(x,y)= otherwise a) P(X< 1,Y < 3)=? b) P(X< 1/Y < 3)=? c) Find the marginal density functions of X and Y. d) Find the joint probability distribution function.
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