Suppose you are interested in measuring the amount of time on average it takes you to make your commute to school. You've estimated that the average time is 38.4 minutes with a standard deviation of 5.362 minutes. Over 12 random days, you measure your commute time. Assuming that your estimated parameters are correct, what is the probability that the average commute time over that 12 day period is greater than 36.19 minutes?
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