Solve please

You are given a signal x(t) with the following histogram Px(x). Px(x) 8 12 1 12 10 2 3 5 6-level quantizer (a) Based on the histogram above where would you intuitively place the 5 quantization levels r1, r2, ..., r5 & the end points of the quantization segments, t, t2, ... to to closely mimic an "optimal quantizer? Give numerical values for the quantization levels and for end points. (3pts) (b) Compute the quantization error (numerical value) for your intuitive quantizer in (b). (2 pts) (c) Set up the 6-level optimal quantizer, i.e., find the 6 quantization levels r1, 12, ..., 16 & the end points of the quantization segments, ti, t2, ... t7. (4 pts) You are given a signal x(t) with the following histogram Px(x). Px(x) 8 12 1 12 10 2 3 5 6-level quantizer (a) Based on the histogram above where would you intuitively place the 5 quantization levels r1, r2, ..., r5 & the end points of the quantization segments, t, t2, ... to to closely mimic an "optimal quantizer? Give numerical values for the quantization levels and for end points. (3pts) (b) Compute the quantization error (numerical value) for your intuitive quantizer in (b). (2 pts) (c) Set up the 6-level optimal quantizer, i.e., find the 6 quantization levels r1, 12, ..., 16 & the end points of the quantization segments, ti, t2, ... t7. (4 pts)