[10 points] Problem 5. Let today's high temperature be denoted as a random variable T. For this time of the year in Amherst, let's assume that T is a normal random variable with mean = 50 and o = 25. Let's say Andrew feels comfortable if the temperature is between two integers A and B, i.e., A T B. He hasn't been here for long and is a little unsure about what to expect. So his lower temperature threshold A is a discrete random variable and takes two equally-likely values: 40 and 45. Similarly, his high temperature threshold B is also a discrete random variable and takes two equally-likely values: 55 and 60. Further assume that A and B are independent. What is the probability that Andrew feels comfortable today?