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To determine entropy :

$H=\frac{1}{5} \log_2(5)+\frac{1}{4} \log_2(4)+\frac{1}{4} \log_2(4)+0.3 log_2(10/3) \\ H = 1.9855 bits/msg$

Information rate R = r * H

Assume r= 4000 msg/sec

Therefore R = 4000 * 1.9855

= 7942.3 bits/sec

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