68–95–99.7 rule - Wikipedia
https://en.wikipedia.org/wiki/68–95–99.7_ruleIn statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively. In mathematical notation, these facts can be expressed as follows, where Χis a…
The Normal Probability Distribution - Regent University
www.regent.edu › app › uploadsThe Normal Probability Distribution Key Definitions Probability Density Function: An equation used to compute probabilities for continuous random variables where the output value is greater than zero and the total area under the graph equals one. Normal Probability Distribution: Has the bell shape of a normal curve for a continuous random
Log-normal distribution - Wikipedia
https://en.wikipedia.org/wiki/Log-normal_distributionIn probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally distributed.Thus, if the random variable X is log-normally distributed, then Y = ln(X) has a normal distribution. Equivalently, if Y has a normal distribution, then the exponential function of Y, X = exp(Y), has a log-normal …
1.3.6.6.1. Normal Distribution
itl.nist.gov › div898 › handbookThe general formula for the probability density function of the normal distribution is \( f(x) = \frac{e^{-(x - \mu)^{2}/(2\sigma^{2}) }} {\sigma\sqrt{2\pi}} \) where μ is the location parameter and σ is the scale parameter. The case where μ = 0 and σ = 1 is called the standard normal distribution. The equation for the standard normal distribution is