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This video tutorial focuses on working with the normal distribution and finding cutoff points corresponding to a given percentile using an example of average daily high temperatures in June in LA. The average temperature is 77 degrees Fahrenheit with a standard deviation of 5 degrees Fahrenheit, assuming a normal distribution. The goal is to determine how cold the coldest 10% of days are in June in LA. To do this, draw a curve, mark the mean, and identify the cutoff point for the coldest 10% of days. Utilize z-scores to calculate the observation's position relative to the mean.