The following is a graphic of the culumative distribution function (CDF). From the graphic, we can tell that weights are more likely around 42 than around 36 or 46.5. It can be used to determine which values are more likely than others. It is not a probability, it is a density. Define the random variable X as the weight of a randomly selected piece of candy.įor those who like pictures, here is a graphic of the probability density function (pdf). This variable follows a Normal distribution with average weight 42 grams and standard deviation 3. The weight of the pieces are not all the same, they are a random variable. You have a bag of candy made by Statistics, Inc. An example of where such a distribution may arise is the following: All Normal distributions have two parameters: mean and standard deviation (or variance). Let X be a random variable following a Normal (Gaussian) distribution.
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