Standard Normal Distribution Tables, Z Scores, Probability & Empirical Rule - Stats

This statistics video tutorial provides a basic introduction into standard normal distributions. It explains how to find the Z-score given a value of x as well as the mean and standard deviation. It explains how to determine the probability by finding the area under the curve represented by f(x) - the probability density function using the empirical rule and the Z-tables. This video contains plenty of examples and practice problems. Probability - Free Formula Sheet: https://www.video-tutor.net/formula-sheets.html Statistics - Video Lessons: https://www.video-tutor.net/statistic.html Algebra Review: https://www.youtube.com/watch?v=i6sbjtJjJ-A Here is a list of topics: 0:00 - Introduction into standard normal distributions 6:55 - How To Find The Z-scores Given x 8:37 - How To Calculate x Given The Z Score 10:33 - Calculating Probability Using The Empirical Rule 20:24 - How To Use Z-Scores To Determine The Area Under The Curve 22:44 - How To Use Standard Normal Distribution Z-Tables 24:31 - How To Solve Probability Problems Using Z-Tables 34:15 - How To Find The 90th Percentile 42:43 - How To Calculate The Mean and Standard Deviation of a Random Sample Introduction to Probability: https://www.youtube.com/watch?v=SkidyDQuupA Probability Formulas: https://www.youtube.com/watch?v=bddckR734aM Probability Explained: https://www.youtube.com/watch?v=UORztmWGY6Q Probability With Geometry: https://www.youtube.com/watch?v=DeH5aHWxEaI Probability of Complementary Events: https://www.youtube.com/watch?v=0T-CaQCiSf4 Conditional Probability: https://www.youtube.com/watch?v=sqDVrXq_eh0 __________________________________ Independent and Dependent Events: https://www.youtube.com/watch?v=lWAdPyvm400 Probability of Mutual Exclusive Events: https://www.youtube.com/watch?v=X6usGgwXFyU Multiplication and Addition Rule: https://www.youtube.com/watch?v=94AmzeR9n2w Compound Probability: https://www.youtube.com/watch?v=EHU6pVSczb4 Expected Value: https://www.youtube.com/watch?v=b6VK2VPMXNI Probability Tree Diagrams: https://www.youtube.com/watch?v=w4wKXVwtGac ___________________________________ Bayes Theorem: https://www.youtube.com/watch?v=OByl4RJxnKA Probability - Binomial Distribution: https://www.youtube.com/watch?v=3PWKQiLK41M Probability - Geometric Distribution: https://www.youtube.com/watch?v=d5iAWPnrH6w Probability - Poisson Distribution: https://www.youtube.com/watch?v=m0o-585xwW0 Continuous Probability Distributions: https://www.youtube.com/watch?v=QxqxdQ_g2uw Probability Density Functions: https://www.youtube.com/watch?v=3xAIWiTJCvE __________________________________ Probability - Uniform Distributions: https://www.youtube.com/watch?v=KfunVw-0AH0 Probability - Exponential Distributions: https://www.youtube.com/watch?v=J3KSjZFVbis Probability - Normal Distributions (Calculus): https://www.youtube.com/watch?v=gHBL5Zau3NE Probability - Standard Normal Distributions: https://www.youtube.com/watch?v=CjF_yQ2N638 Probability - The Law of Large Numbers: https://www.youtube.com/watch?v=ihTpK6dXSas ___________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Math & Science Videos: https://www.patreon.com/mathsciencetutor/collections