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Normal Probability Distribution

The focus of the section on the Normal Probability Distribution is to identify
situations that give rise to Normal distributions by demonstrating an ability to
understand the properties of the Normal distribution, use these properties to
solve problems and make probability statements about Normal distributions.

The Normal Probability Distribution is a fundamental building block for most
elementary parametric Statistics, important applications are

1. it is the theoretical distribution of random error when the scale is
    continuous, for example, if every student in your school was given
    a ten centimetre rule to measure the length of the gym, the
    resulting distribution of their measurements would follow a Normal
    distribution.
2. it is the theoretical distribution for the means of randomly drawn
    large samples, for example, if everyone in the class rolled a dice
    50 times and was asked to compute the mean of their results,
    the distribution of the means from the class would follow a Normal
    distribution.

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