Normal Probability Distributions

These flashcards cover the key concepts related to normal probability distributions and their properties.

Standard Normal Distribution

A specific normal distribution with parameters µ = 0 and σ = 1.

Normal Distribution

A continuous random variable distribution with a symmetric and bell-shaped graph.

Bell-Shaped

The characteristic shape of the graph of a standard normal distribution.

Density Curve

The graph of any continuous probability distribution, where the total area under the curve is equal to 1.

Uniform Distribution

A distribution where a continuous random variable has values spread evenly over a range, resulting in a rectangular graph.

Cumulative Area

The area under the curve up to a specific z score in a normal distribution.

Z Score

A measure of how many standard deviations an element is from the mean.

Critical Value

A z score on the borderline separating significantly low or high z scores.

Probability

The likelihood or chance of a specific event occurring, often represented by area under the probability distribution.

Area Between Two Boundaries

The probability corresponding to a range of z scores, calculable by finding the difference between cumulative areas.