7.16 Consider a uniform quantizer characterized by the input- output relation illustrated in Figure 7.21a. Assume that a Gaussian- distributed random variable with zero mean and unit variance is applied to this quantizer input. (a) What is the probability that the amplitude of the input lies outside the range -4 to +4? (b) Using the result of part (a), show that the output signal-to- noise ratio of the quantizer is given by (SNR)=6R-7.2dB where R is the number of bits per sample. Specifically, you may assume that the quantizer input extends from -4 to +4. Compare the result of part (b) with that obtained in Example 7.2.