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Two random variables are jointly Gaussian with means of μX=2, μY=-3 variances of σ2X=1, σ2Y=4, and a covariance of Cov(X,Y)= -1.

(a) Write the form of the joint PDF of these jointly Gaussian random variables.

(b) Find the marginal PDFs fX(x) and fY(y).

(c) Find Pr(X<0) and Pr(Y>0) and write both in terms of Q-functions.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M91971339

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