Chapter 8: Continuous Probability Distributions 8.1 Probability Density Functions • Requirements for a Probability Density Function – the following requirements apply to a probability density function f(x) whose range is 1. for all x between a and b . 2. The total area under the curve between a and b is 1.0. • Uniform Distribution o The uniform probability distribution , also called the rectangular probability distribution. o Uniform probability Density Function • Using a Continuous Distribution to Approximate a Discrete Distribution o Although some random variables have the properties of a discrete random variable such as money where there is finiteness (large number but countable, there’s no upper limit) we can still employ a continuous probability distribution to determine the probability associated with such variables 8.2 Normal Distribution • The normal distribution is the most important of all probability distributions because of its crucial role in statistical inference
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