Machine learning models (MLMs) are often made up of deterministic and random quantities (or model error). If the MLM is performing as expected, then a random test of the model error, which varies, will be normally distributed (if not, it means there are other deterministic quantities present effecting the model's outcome that need to be included in its design). Suppose that for a specific MLM, a random test of the model error E is normally distributed with mean ,u. : 0 and standard deviation 0' : 25 (Le. 8 N N(0, 625)). For each of the following, be sure to use proper notation and show all steps in your solution (e.g. standardizing 8 or E). You may use R or a standard normal table to nd the probabilities and results may be rounded to 4 decimals. a. Determine the probability that a single test of a random MLM's model error will be at least 1.5. b. Determine the probability that the average of 49 random MLM's model error will be at least 1.5