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Characteristics of the Normal Probability Distribution

A continuous random variable that follows the normal probability distribution has several distinctive features. Let’s say the monthly rainfall in inches for a particular city follows the normal distribution with an average of 3.5 inches and a standard deviation of 0.8 inches. The probability distribution for such a random variable is shown in Figure 11.1.
Figure 11.1
Normal distribution with a mean = 3.5, standard deviation = 0.8. From this figure, we can make the following observations about the normal distribution:
◆ The mean, median, and mode are the same value—in this case, 3.5 ...

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