This is typically done by integrating the pdf over the interval of interest. Probability density functions are used to determine the probability that a random variable will lie within a certain range of values. Substituting μ = 0 and σ = 1 yields the pdf of a standard normal distribution: Where μ is the mean, and σ is the standard deviation. The general form of the pdf of a normal distribution is It also makes it possible to use Z tables to determine probabilities that would otherwise be difficult to compute through integration of the probability density function (pdf) of a normal distribution. Standardizing normal distributions makes it possible to easily compare different normal distributions. Rather than the mean and standard deviation of a normal distribution being any real number, a standard normal distribution has a mean (μ) of 0 and a standard deviation (σ) of 1. Home / probability and statistics / probability distribution / standard normal distribution Standard normal distributionĪ standard normal distribution, also referred to as a Z distribution, is a special case of the normal distribution.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |