# 4.10: Chapter 6 Review


## 6.1 The Standard Normal Distribution

A z-score is a standardized value. Its distribution is the standard normal, $$Z \sim N(0, 1)$$. The mean of the z-scores is zero and the standard deviation is one. If $$z$$ is the z-score for a value $$x$$ from the normal distribution $$N(\mu, \sigma)$$ then $$z$$ tells you how many standard deviations $$x$$ is above (greater than) or below (less than) $$\mu$$.

## 6.3 Estimating the Binomial with the Normal Distribution

The normal distribution, which is continuous, is the most important of all the probability distributions. Its graph is bell-shaped. This bell-shaped curve is used in almost all disciplines. Since it is a continuous distribution, the total area under the curve is one. The parameters of the normal are the mean $$\mu$$ and the standard deviation $$\sigma$$. A special normal distribution, called the standard normal distribution is the distribution of z-scores. Its mean is zero, and its standard deviation is one.

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