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Received wireless signal is corrupted by noise. To determine its amplitude, you measure it repeatedly. Measurements may be modeled as random variables, =+ where is

Received wireless signal is corrupted by noise. To determine its amplitude, you measure it repeatedly. Measurements may be modeled as random variables,

=+ where is the signal amplitude and are random noise samples, modeled as independent random variables of zero mean and standard deviation of 1 Volt. How many measurements do you have to make to be certain with probability greater than 0.99 that the measured voltage is within 1 Volt of its true mean?

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