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- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/06%3A_The_Normal_Distribution/6.06%3A_Chapter_ReviewThis page describes the standard normal distribution, which has a mean of zero and a standard deviation of one, noted as Z ~ N(0, 1). It explains the concept of the z-score, measuring distance from th...This page describes the standard normal distribution, which has a mean of zero and a standard deviation of one, noted as Z ~ N(0, 1). It explains the concept of the z-score, measuring distance from the mean in standard deviations. Additionally, it highlights the normal distribution's importance in probability theory, characterized by its continuous, bell-shaped form with parameters mean (µ) and standard deviation (σ), particularly focusing on the relevance of z-scores across various fields.
- https://stats.libretexts.org/Courses/Fort_Hays_State_University/Elements_of_Statistics/04%3A_Probability_Distributions/4.02%3A_Analyzing_Discrete_Random_VariablesIn this section, we discuss methods of describing and analyzing discrete random variables.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/04%3A_Discrete_Random_Variables/4.10%3A_PracticeThis page presents exercises on various probability distributions, including hypergeometric, binomial, geometric, and Poisson distributions, applied to scenarios like company attrition rates and muffi...This page presents exercises on various probability distributions, including hypergeometric, binomial, geometric, and Poisson distributions, applied to scenarios like company attrition rates and muffin sales. It challenges the reader to define random variables, calculate probabilities, construct probability distributions, and determine expected values and standard deviations, all organized around specific data sets and contexts.
- https://stats.libretexts.org/Courses/Fort_Hays_State_University/Elements_of_Statistics/04%3A_Probability_Distributions/4.01%3A_Random_VariablesA random variable is a quantitative variable that assigns a number to each outcome in the sample space of a given random experiment. A random variable can be either discrete (having specific values)...A random variable is a quantitative variable that assigns a number to each outcome in the sample space of a given random experiment. A random variable can be either discrete (having specific values) or continuous (any value in a continuous range). The use of random variables is most common in probability and statistics as they quantify outcomes of random occurrences.