In this problem, you will evaluate the performance of a simple algorithm for quantizing signals from a temperature sensor. Let X be a Uniform(95, 105) random variable, representing the range of temperatures. Unfortunately, our digital thermometer only has two bits of outputs, so it can only read out 4 numbers (one LED lights up next to one of these numbers): 96,98,100,103. We set up the logic for lighting up the LEDs according to the following simple scheme: 96 I