Question: code class = asciimath > ^ ( 2 ) Equation 3 uses the following result from Gallager: for a sequence of M independent binary digits

code class

=

"asciimath"

>^(2)

Equation

3

uses the following result from Gallager: for a sequence of

M

independent binary digits

a_{i}

with an propability of

p_{i}

for

a_{i} = 1,

the probability that the whole sequence contains an even number of

1'

s is

\frac{1}{2} + \frac{1}{2} p r o d_{i} = 1^{M} (1 - 2 p_{i})

code class = "asciimath" > ^ ( 2 ) Equation 3

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