Question: Please help me i need the correct answer urgently. Pleas Question 3 The input to a back box is a random signal X which satisfies

Please help me i need the correct answer urgently. Pleas

Question 3 The input to a back box is a random signal X which satisfies P(X = 1) = 1 - P(X = -1) = p, for a constant p e (0, 1). The output of the black box is a random variable Y', which is equal to the input plus some independent random noise. This noise has a Gaussian distribution with mean 0 and variance o' > 0. (a) Describe the joint distribution of X and Y by writing down expressions for P(a

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