# Question: A Gaussian random variable with zero mean and variance 2X

A Gaussian random variable with zero mean and variance σ2X is applied to a device that has only two possible outputs, 0 or 1. The output 0 occurs when the input is negative, and the output 1 occurs when the input is nonnegative.

(a) What is the probability mass function of the output?

(b) Rework the problem when µX 1 / 2= and σ2X = 1.

(a) What is the probability mass function of the output?

(b) Rework the problem when µX 1 / 2= and σ2X = 1.

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