6: The Normal Distribution
- Page ID
- 130252
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- 6.1: Graphs of the Normal Distribution
- Many real life problems produce a histogram that is a symmetric, unimodal, and bellshaped continuous probability distribution.
- 6.2: Finding Probabilities for the Normal Distribution
- The Empirical Rule is just an approximation and only works for certain values. What if you want to find the probability for x values that are not integer multiples of the standard deviation? The probability is the area under the curve. To find areas under the curve, you need calculus. Before technology, you needed to convert every x value to a standardized number, called the z-score or z-value or simply just z. The z-score is a measure of how many standard deviations an x value is from the mean.
- 6.4: The Sample Proportion
- Often sampling is done in order to estimate the proportion of a population that has a specific characteristic.