Example 18.2 For the probability density of a system of random variables (X, Y): f(x, y) = 0.5 sin (x + y) (0 < x < , 0 < x < 7). y determine (a) the distribution function of the system, (b) the expectations of X and Y, (c) the covariance matrix.

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Example 18.2 For the probability density of a system of random variables
(X, Y):
f(x, y) = 0.5 sin (x + y) (0 < x < 7,0 << 7),
2'
determine (a) the distribution function of the system, (b) the expectations of
X and Y, (c) the covariance matrix.
Transcribed Image Text:Example 18.2 For the probability density of a system of random variables (X, Y): f(x, y) = 0.5 sin (x + y) (0 < x < 7,0 << 7), 2' determine (a) the distribution function of the system, (b) the expectations of X and Y, (c) the covariance matrix.
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