# day10 - Recall Continuous Random Variables A random...

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Recall : Continuous Random Variables : A random variable that may assume any numerical value in an interval or collection of intervals. Ex : Consider the experiment of construction a new library. Let the ran- dom variable x be the percentage of the project complete after 6 months. Continuous Probability Distributions We cannot use a table to represent the probability distribution for contin- uous random variables. Instead we use a smooth curve f ( x ) to describe the distribution graphically. f ( x ) must have the following properties: 1. f ( x ) 0 2. The total area under the curve is 1. The probability that the random variable is between two numbers a and b is the area under the curve between a and b . 1

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The Normal Distribution The normal distribution is the most important probability distribution for continuous random variables. The normal distribution has a bell shape. We can describe the shape of the normal distribution: The central tendency: a mean of μ .
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