An information source can be modeled as a band limited process with a bandwidth of 6000 Hz. This process is sampled at the Nyquist rate. We observe that the resulting samples take values in the set AE{-4, -3, -1, 2, 4, 7} with probabilities {0.2, 0.1, 0.15, 0.05, 0.3, 0.2}. What is the entropy of the discrete time source in terms of bits per sample? What is the information generated by this source in terms of bits per second