Cant upload the image but heres the URL httpimgurcomgfJsijd

Can\'t upload the image, but here\'s the URL:

http://imgur.com/gfJsijd

Can\'t upload the image , but here\'s the URL: http://imgur.com/gfjsijd

Solution

Jt distribution would be like this

P(X<=1 and Y<=1) =0.1+0.3+0.06+0.18 = 0.64

P(X<=1) = 0.8 and P(Y<=1) = 0.8

Product = 0.8(0.8) = 0.64

Both are the same.

Yes

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c) P(X+Y=0) = 0.1

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d) P(X+y<=1) = P(0,0)+P(0,1)+P(1,0)

=0.1+0.3+0.06

=0.46

			y
	x,y	0	1	2	3	4
x	0	0.1	0.3	0.025	0.025	0.05	0.5
	1	0.06	0.18	0.015	0.015	0.03	0.3
	2	0.04	0.12	0.01	0.01	0.02	0.2
		0.2	0.6	0.05	0.05	0.1	1
	x and y are independent
	P(XY) = P(X)P(Y)