Solve the following problem:
A memory less source has the alphabet A = {-5, -3, -1, 0, 1, 3, 5}, with corresponding probabilities {0.05, 0.1, 0.1, 0.15, 0.05, 0.25, 0.3}.
1. Find the entropy of the source.
2. Assuming that the source is quantized according to the quantization rule
q(-5)=q(-3) = -4
q(-1)=q(0)=q(1)=0
q(3)=q(5)=4
find the entropy of the quantized source.