Section 6.1 Student Learning Objectives
This chapter introduces a very important bell-shaped distribution known as the Normal distribution. Computations associated with this distribution are discussed, including the percentiles of the distribution and the identification of intervals of subscribed probability. The Normal distribution may serve as an approximation to other distributions. We demonstrate this property by showing that under appropriate conditions the Binomial distribution can be approximated by the Normal distribution. This property of the Normal distribution will be picked up in the next chapter where the mathematical theory that establishes the Normal approximation is demonstrated. By the end of this chapter, the student should be able to:
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Recognize the Normal density and apply
Rfunctions for computing Normal probabilities and percentiles. -
Associate the distribution of a Normal random variable with that of its standardized counterpart, which is obtained by centering and re-scaling.
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Use the Normal distribution to approximate the Binomial distribution.
