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Standard Normal Distribution definitions

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  • Variance
    Represents the average squared difference between outcomes and the mean in a probability distribution.
  • Standard Deviation
    Measures the spread of outcomes in a distribution; calculated as the square root of variance.
  • Discrete Random Variable
    A variable with distinct, countable outcomes, each associated with a probability.
  • Probability Distribution
    A table or function showing possible values of a random variable and their associated probabilities.
  • Expected Value
    The mean of a probability distribution, found by summing each outcome times its probability.
  • Z Score
    Indicates how many standard deviations an element is from the mean in a normal distribution.
  • Z Table
    A reference chart listing cumulative probabilities for z scores in the standard normal distribution.
  • Standard Normal Curve
    A symmetric, bell-shaped graph representing a normal distribution with mean zero and standard deviation one.
  • Cumulative Probability
    The total probability from the left up to a specific value under the standard normal curve.
  • Complement
    The probability of the opposite event, calculated as one minus the given probability.
  • Area to the Left
    The region under the standard normal curve from the far left up to a specified z score.
  • Area to the Right
    The region under the standard normal curve from a specified z score to the far right.
  • Mean Squared
    The square of the mean value in a probability distribution, used in variance calculations.
  • Probability
    A value between zero and one representing the likelihood of a specific outcome in a distribution.
  • Spread
    Describes how much the values in a distribution differ from the mean, often quantified by variance or standard deviation.