Final answer:
The source entropy, maximum entropy, source efficiency, and redundancy can be calculated for the given source emitting three symbols with probabilities p1=0.2, p2=0.7, and p3=0.1.
Step-by-step explanation:
For the given source that emits three symbols with probabilities p1=0.2, p2=0.7, and p3=0.1, we can calculate the source entropy, maximum entropy, source efficiency, and redundancy as follows:
(a) Source entropy: The source entropy is calculated using the formula H(S) = -∑(pi * log2(pi)), where pi represents the probability of each symbol. So, H(S) = -0.2 * log2(0.2) - 0.7 * log2(0.7) - 0.1 * log2(0.1).
(b) Maximum entropy: The maximum entropy is the case when all symbols have equal probabilities. Since there are three symbols, each has a probability of 1/3. So, the maximum entropy, Hmax = -3 * (1/3) * log2(1/3).
(c) Source efficiency: The source efficiency is calculated as (Hmax - H(S)) / Hmax * 100%.
(d) Redundancy: The redundancy is calculated as Hmax - H(S).