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Discrete Random Variables definitions

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  • Random Variable
    A symbol representing a value determined by chance for each outcome in an experiment.
  • Discrete Random Variable
    A variable with distinct, indivisible outcomes, such as whole numbers from a dice roll.
  • Continuous Random Variable
    A variable with outcomes that can be broken down infinitely, covering all values within a range.
  • Probability Distribution
    A table showing all possible values of a random variable and their associated probabilities.
  • Frequency Distribution
    A summary listing outcomes and their observed frequencies after an experiment.
  • Outcome
    A possible result from an experiment, represented as a value of a random variable.
  • Probability
    A decimal between 0 and 1 indicating the likelihood of a specific outcome occurring.
  • Expected Value
    A weighted average of all possible values, calculated using each value's probability.
  • Mean
    A central value of a probability distribution, found by summing products of values and probabilities.
  • Variance
    A measure of how spread out outcomes are, calculated by subtracting the mean squared from the sum of squared values times probabilities.
  • Standard Deviation
    A value indicating the typical distance outcomes deviate from the mean, found by taking the square root of variance.
  • Sigma Notation
    A mathematical symbol used to represent the sum of a series of terms, often in probability calculations.
  • Table
    An organized arrangement of outcomes and probabilities, aiding calculation and visualization.
  • Experiment
    A process or action resulting in random outcomes, forming the basis for probability analysis.
  • Criteria
    Conditions required for a probability distribution, such as probabilities summing to one and each being between zero and one.