Statistics and probability

Comprehensive Article on the Geometric and Negative Binomial Distributions Introduction In probability theory, the Geometric and Negative Binomial distributions are two closely related discrete distributions. Both are used to model …

Exercise A discrete random variable \( X \) has the following probability distribution: \[ \begin{array}{|c|c|c|c|c|} \hline x & 2 & 4 & 6 & 10 \\ \hline p(x) & \frac{1}{6} …

Exercise In a factory producing electronic components, there are three production lines: PL1, PL2, and PL3. The quality control process classifies defective products into two categories, E1 and E2, based …

Introduction In probability theory and statistics, understanding the relationship between discrete and continuous probability distributions is fundamental. Two important concepts in this realm are Bernoulli trials and the normal distribution. …

Exercise In a scientific article published in the Journal of Public Health Statistics, the authors estimated that in the general population, without any known risk factors, the probability that an …

Exercise A course in Economics is jointly taught to students from the Economics, Law, and Agriculture departments. Among the students enrolled in this course, 65% are from the Economics department, …

In probability theory, several discrete probability distributions are widely used. These distributions describe the probabilities of outcomes in different types of experiments or scenarios where the outcomes are distinct and …

Variance and Standard Deviation for Grouped Data Explanation of variance for ungrouped and grouped data. Calculation methods and example. Coefficient of Variation \((CV)\) Definition and calculation. Example demonstrating its application. …

Statistical Measures and Techniques Description of Data: Describing data, such as the annual sales of a product for a company, can be done in several ways. For instance, a sales …

Descriptive statistics involve summarizing and organizing data so it can be easily understood. Descriptive statistics are typically broken down into two categories: Measures of Central Tendency: These describe the center …