Consider two independent random variables X and Y. In two experiments, their probabilities are shown in Table 5.2. Table 5.2 (a) Values of X and P(x) Table 5.2 (b) Values of Y and P(y) X 0 1 Y 1 0 P(x) 1/3 2/3 P, (v) 1/3 2/3 ( Find (a) E[2X+3Y], (b) E[2X²-Y²]

MATLAB: An Introduction with Applications
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Consider two independent random variables X and Y. In two experiments, their probabilities
are shown in Table 5.2.
Table 5.2 (a) Values of X and P(x)
Table 5.2 (b) Values of Y and P(y)
X
0
1
Y
1
0
Px (x)
1/3
2/3
P₂(y)
1/3
2/3
Find (a) E[2X+3Y], (b) E[2X²−Y²]
Transcribed Image Text:Consider two independent random variables X and Y. In two experiments, their probabilities are shown in Table 5.2. Table 5.2 (a) Values of X and P(x) Table 5.2 (b) Values of Y and P(y) X 0 1 Y 1 0 Px (x) 1/3 2/3 P₂(y) 1/3 2/3 Find (a) E[2X+3Y], (b) E[2X²−Y²]
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