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This video tutorial focuses on working with the normal distribution to find cutoff points for a given percentile. Using the example of average daily high temperatures in June in LA, with an average of 77 degrees Fahrenheit and a standard deviation of 5 degrees Fahrenheit, the goal is to determine how cold the coldest 10% of days are. By drawing a curve, marking the mean, and calculating z-scores, we can estimate the cutoff point for the coldest days based on the distribution. Guesstimating the cutoff and finding the unknown observation X are key steps in this process.