# Question: Two random variables are jointly Gaussian with means of x

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 9Y > 0) and write both in terms of Q- functions.

(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 9Y > 0) and write both in terms of Q- functions.

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