12. i. State Central limit theorem and tell what is the main theme of it. Show that if the random variables (X, Y) follow the probability density of a bivariate normal distribution and if the correlation p = 0, X and Y are independent. (Show that f(x, y) = g(x) h(y))

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12. i. State Central limit theorem and tell what is the main theme of it.
65
ii. Show that if the random variables (X, Y) follow the probability density of a bivariate normal
distribution and if the correlation p = 0, X and Y are independent. (Show that f(x, y) = g(x)
h(y))
%3D
%3D
Transcribed Image Text:12. i. State Central limit theorem and tell what is the main theme of it. 65 ii. Show that if the random variables (X, Y) follow the probability density of a bivariate normal distribution and if the correlation p = 0, X and Y are independent. (Show that f(x, y) = g(x) h(y)) %3D %3D
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