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40S Applied Math Mr. Knight â Killarney School Unit: Statistics Lesson: ST-5 The Binomial Distribution Then, calculate the mean and standard deviation, and solve using your normal distribution techniques: P(x ï³ 40) = 0.186 Therefore, there is about an 18.6 percent chance that 40 or more vehicles were carrying undeclared goods. Example: Solve a Binomial Distribution Problem as a Normal Distribution Problem (contâd) Slide 16