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Uniform Distribution definitions

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  • Continuous Random Variable
    A variable that can assume any value within a given range, with infinitely many possible outcomes between any two points.
  • Discrete Random Variable
    A variable with a countable set of possible values, often represented in tables or bar graphs with gaps between values.
  • Probability Density Function
    A function describing how probability is distributed over a range of values for a continuous random variable.
  • Uniform Distribution
    A distribution where the probability density is constant across all values within a specified interval.
  • Area Under the Curve
    The graphical representation of probability for a continuous random variable over a specific interval.
  • Interval
    A continuous range of values between two endpoints, used to calculate probabilities for continuous variables.
  • Height
    The value of the probability density function at a specific point, representing density rather than probability.
  • Width
    The length of the interval on the x-axis over which probability is calculated for continuous variables.
  • Total Probability
    The sum of all probabilities for a random variable, equal to one for both discrete and continuous cases.
  • Rectangle
    The geometric shape formed under the probability density function in a uniform distribution, used to find probabilities.
  • Graph
    A visual tool for representing the distribution of random variables, showing possible values and their probabilities or densities.
  • Table
    A structured format listing possible values of a discrete random variable alongside their probabilities.
  • Range
    The set of all possible values a random variable can take, bounded by minimum and maximum endpoints.
  • Probability
    A measure of the likelihood that a random variable falls within a specified interval or set of values.
  • Bar Graph
    A chart displaying probabilities of discrete random variables as bars, with gaps indicating unavailable values.