1. The joint probabilities P(X = a, Y = b) of discrete random variables X and Y are given in the following table. Determine the marginal probability distributions of X and Y, i.e., determine the probabilities P(X = a) and P(Y = b) for a, b = 1, 2, 3, 4. a 4 1 16/136 3/136 2/136 13/136 2 5/136 10/136 11/136 8/136 3 9/136 6/136 7/136 12/136 4 4/136 15/136 14/136 1/136

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1. The joint probabilities P(X = a, Y = b) of discrete random variables X and Y are
given in the following table. Determine the marginal probability distributions of X
and Y, i.e., determine the probabilities P(X = a) and P(Y = b) for a, b = 1, 2, 3, 4.
a
1
3
4
1
16/136
3/136
2/136
13/136
2
5/136
10/136
|11/136
8/136
3
9/136
6/136
7/136
12/136
4
4/136
15/136
14/136
1/136
Transcribed Image Text:1. The joint probabilities P(X = a, Y = b) of discrete random variables X and Y are given in the following table. Determine the marginal probability distributions of X and Y, i.e., determine the probabilities P(X = a) and P(Y = b) for a, b = 1, 2, 3, 4. a 1 3 4 1 16/136 3/136 2/136 13/136 2 5/136 10/136 |11/136 8/136 3 9/136 6/136 7/136 12/136 4 4/136 15/136 14/136 1/136
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