A Gaussian random variable with zero mean and variance s 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 mue μx= 1/2 and σ2x=1.