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A signal in a comm channel is detected when the voltage is higher than 1.5v in...

A signal in a comm channel is detected when the voltage is higher than 1.5v in absolute value. Assume that the voltage is normally distributed with a mean of 0. What is the standard deviation of voltage such that the probability of a false signal is 0.5? SHOW ALL WORK. If you use a table provide the title of it and highlight the values in the table being used.
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Answer #1

Let X denotes the voltage.

X ~ Normal(0, ) where is unknown.

To find standard deviation such that

which is an impossible event.

So, P(a false signal) can not be equal to 0.5

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