Probability of extreme weather

From the perspective of probability theory, if the temperature in a certain area or place is normally distributed under the average condition for many years, the probability of weather is the highest, the probability of hot and cold weather is small, and the probability of extremely cold or hot weather is even smaller. However, due to the influence of global warming, the average temperature in this area will rise, the probability of high temperature weather will increase obviously, the rare extreme high temperature weather may also appear frequently, and extreme events such as high temperature heat waves will become frequent; If the variance of temperature changes increases, extreme weather will occur more frequently.