Misalang

These notes cover descriptive stats (mean, IQR), probability rules, and random variables. Models include Binomial, Poisson, and Normal. They explore statistical studies, the CLT, and confidence intervals using critical values (z*/t*) to estimate unknown population parameters.

Unit 6 of the notes focuses on confidence intervals, margin of error, and the specific application of sample proportion studies to estimate unknown population parameters. 1. Confidence Intervals & Margin of Error 2. Critical Values 3. Sample Proportions

Unit 5 focuses on the process of statistical studies, the properties of sampling distributions, and the application of the Central Limit Theorem (CLT) to make generalizations about populations 1. Foundations of Statistical Studies 2. Sampling methods 3. Central limit theorem

Unit 4 of the notes transitions from discrete variables to continuous random variables, which involve an infinite set of numbers. This unit focuses on modeling likelihoods through mathematical functions, specifically highlighting the calculus-based foundations of continuous distributions and the practical applications of exponential and normal models. 1. Foundations of Continuous Random Variables 2. Exponential Random Variables 3. Normal Random Variables - Z score - Empir...

Unit 3 of the notes provides an in-depth exploration of random variables, which are used to numerically and logically map the outcomes of random processes The unit focuses specifically on discrete random variables, which involve a finite set of numbers and serve as the foundation for all probabilities 1. Fundamental Concepts and General Formulas 2. Three Main Types of Discrete Random Variables The notes categorize discrete random variables into three distinct types based on their trial...

Unit 2 notes is an overview of probability, factorials, permutations, and combinations. Additionally, the notes outline essential rule sets, including the general addition rule, the multiplication rule, and the complement rule. The notes explore complex relationships between events, specifically focusing on independence, marginal probability, and conditional probability. The notes also define disjoint (or mutually exclusive) events.

These notes provide a foundational overview of introductory statistics, focusing on the methods used to describe and visualize data sets. The material defines key terminology such as measures of center and spread while providing the specific mathematical formulas for calculating mean, standard deviation, and variance. Visual learners are guided through various graphical representations, including histograms, dot plots, and stem-and-leaf displays, to identify patterns like clusters or gaps. ...