Question: Let X ~ N (, ) and Y ~ Ber (p). Compute the total variation distance between the distributions of sign (X) and Y

Let X ~ N (, ) and Y ~ Ber (p). Compute the total variation distance between the distributions of sign (X) and Y - 1. Note that sign () is a function of the random variable with 1 if X 0 sign (X) = 0 if X=0 -1 if X

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