7. The following table gives the probabilities for a joint distribution of discrete random variables X and Y. In the table below, 0.5 is the probability that X is 1 and Y is 1, 0.12 is the probability that X is 1 and Y is 2, and so forth. Y=1 Y=2 Y=3 X=1 0.05 0.12 0.18 X=2 0.11 0.09 0.10 0.17 0.13 a) Compute the marginal frequency function of X. X=3 0.05 b) Compute the conditional frequency of Y given X=2. c) Compute the Expectation of X

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7. The following table gives the probabilities for a joint distribution of discrete random variables
X and Y. In the table below, 0.5 is the probability that X is 1 and Y is 1, 0.12 is the probability
that X is 1 and Y is 2, and so forth.
Y=1
Y=2
Y=3
X=1
0.05
0.12
0.18
X=2
0.11
0.09
0.10
0.17 0.13
a) Compute the marginal frequency function of X.
X=3
0.05
b) Compute the conditional frequency of Y given X=2.
c) Compute the Expectation of X
Transcribed Image Text:7. The following table gives the probabilities for a joint distribution of discrete random variables X and Y. In the table below, 0.5 is the probability that X is 1 and Y is 1, 0.12 is the probability that X is 1 and Y is 2, and so forth. Y=1 Y=2 Y=3 X=1 0.05 0.12 0.18 X=2 0.11 0.09 0.10 0.17 0.13 a) Compute the marginal frequency function of X. X=3 0.05 b) Compute the conditional frequency of Y given X=2. c) Compute the Expectation of X
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