PLEASE DO NOT tell me that something is missing again. This is the whole question and there is nothing else i can provide you with unfortunately. Please help me this is of huge importance

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