Determine the average entropy per symbol

Question

Assignment:

The discrete-time signal x(nT ) has iid samples with PDF

P_x(a) = 3/2 a²/V³₁ rect (a/2V₁)

It is input to a uniform quantizer with L = 6 levels and v_sat = V1. Find a) the mean and variance of the quantization error; b) the average entropy per symbol and the efficiency of the quantized signal; c) the optimal source coding of the quantized signal with a single symbol dictionary, and the efficiency of the coded signal.