Let X and Y be the number of tables and chairs in an office. The joint pmf p(x,y) of X and Y is given in the table. a) Find the probability  P(X + Y <= 4) b) Find the conditional probability P(X =1 |  Y = 2). Are X and Y independent or not? c) Find the expected value E(X + Y)

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Let X and Y be the number of tables and chairs in an office. The joint pmf p(x,y) of X and Y is given in the table.

a) Find the probability  P(X + Y <= 4)

b) Find the conditional probability P(X =1 |  Y = 2). Are X and Y independent or not?

c) Find the expected value E(X + Y)

Y=0
Y=1
Y=2
Y=3
X=1
X=2
0.05
0.06
0.1
0.14
0.35
0.05
0.1
0.2
0.3
0.65
0.1
0.16
0.3
0.44
Transcribed Image Text:Y=0 Y=1 Y=2 Y=3 X=1 X=2 0.05 0.06 0.1 0.14 0.35 0.05 0.1 0.2 0.3 0.65 0.1 0.16 0.3 0.44
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