Normal Distribution and Area Calculation | CFA® Level 1 Exam Preparation

Area Calculation for Normal Distribution

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Question

The mean of a normal distribution is 400 pounds. The standard deviation is 10 pounds. What is the area between 415 pounds and the mean of 400 pounds?

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Explanation

z = (x-u)/sigma. z = 415 - 400/10 = 1.5. From the z-tables, z = 1.5 is 0.4332. Since we are considering just one side of the distribution and the area from the mean, then the area between the points is 0.4332.