3. A system can send 5 possible messages $m_i$, $i = 1, \dots, 5$. Let the probability of sending message $m_i$ be $p_i$ defined as
$p_i = \begin{cases} \frac{22}{100} & i = 1,2,3\\ \frac{17}{100} & i = 4,5 \end{cases}$
(a) Calculate the information $I_i$ for each message.
(b) Calculate the average information measure, $H$.
(c) If 10 messages are sent in 136 µSec, calculate the source rate, $R$.