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  • https://stats.libretexts.org/Workbench/Introduction_to_Statistical_Methods_(Yuba_College)/07%3A_Continuous_Probability_Distributions/7.01%3A_Introductions
    To be a valid continuous distribution the total area under the curve has to be equal to one and the function’s y-values need to be positive. For example, we may have a random variable that is uniforml...To be a valid continuous distribution the total area under the curve has to be equal to one and the function’s y-values need to be positive. For example, we may have a random variable that is uniformly distributed so we could use the Uniform distribution that looks like a rectangle. We may want to model the average time it takes for a component to be manufactured and use the bell-shaped Student t-distribution.
  • https://stats.libretexts.org/Workbench/Statistics_for_Behavioral_Science_Majors/05%3A_Continuous_Probability_Distributions/5.01%3A_Introductions_to_Continuous_Distributions
    Continuous random variables and sampling distribution have many applications. Baseball batting averages, IQ scores, the length of time a long distance telephone call lasts, the amount of money a perso...Continuous random variables and sampling distribution have many applications. Baseball batting averages, IQ scores, the length of time a long distance telephone call lasts, the amount of money a person carries, the length of time a computer chip lasts, and SAT scores are just a few. The field of reliability depends on a variety of continuous random variables

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