The Normal Probability Distribution

These flashcards cover key vocabulary terms and concepts related to the normal probability distribution, which are essential for understanding statistics and its applications.

Normal Probability Distribution

A probability distribution that is symmetric about the mean, indicating that data near the mean are more frequent in occurrence than data far from the mean.

Normal Curve

A graph that represents the normal distribution, showing that data is distributed in a bell-shaped fashion.

Probability Density Function (pdf)

An equation used to compute probabilities of continuous random variables, meeting specific properties where the total area equals 1 and heights are non-negative.

Uniform Probability Distribution

A distribution where all outcomes are equally likely within a specific range, such as the time a friend is late.

Inflection Points

Points on a curve where the curvature changes, located at μ - σ and μ + σ for the normal curve.

Empirical Rule

A statistical rule stating that for a normal distribution, approximately 68% of data falls within one standard deviation of the mean, 95% within two, and 99.7% within three.

Z-Score

A measure that describes the position of a raw score in terms of its distance from the mean in standard deviations.

Standard Normal Distribution

A normal distribution with a mean of 0 and a standard deviation of 1.

Normality Assessment

The process of determining if a dataset is approximately normally distributed, often using normal probability plots.

Binomial Probability Experiment

An experiment that meets all criteria for a binomial distribution, such as having two possible outcomes and a fixed number of independent trials.