You have recorded the outside temperature in Fullerton, CA at noon each day for all 365 days in the year 2020. You plot all of the temperatures from the 365 days and get a normal distribution. Across the 365 days, the mean temperature is 75 degrees Fahrenheit and the standard deviation is 12 degrees Fahrenheit.

Question: Your dog likes really hot weather. Based on your distribution, what's the probability that your dog sees a temperature that is at least 2 standard deviations higher than the mean temperature? Please show your work where appropriate.