Advanced Probability Concepts: Mean, Variance, Skewness & PDF Calculations Explained! | Class 10

Unlock advanced Probability concepts with this detailed Statistics session covering expectation, mean, median, mode, variance, skewness, and coefficient of skewness. In this video, you’ll learn how to calculate the mean using probability density functions and understand the key rules behind expectation. We also cover how to find the median, mode, and variance using probability, along with the derivation of variance and important transformation rules. This session is useful for students preparing for CS1, actuarial science, and statistics-based examinations who want to strengthen their understanding of random variables and probability-based calculations. In this lecture, you’ll learn: ✔ Calculating Mean using PDF ✔ Expectation rules ✔ E(x²), E(ax), and E(ax+b) ✔ Calculating Median using Probability ✔ Calculating Mode using Probability ✔ Calculating Variance using Probability ✔ Deriving Variance of x ✔ V(ax+b) ✔ Skewness and Coefficient of Skewness ✔ Practice Problems ⏱️ Video Chapters: 00:00 - Calculating Mean using PDF 07:25 - Practice Problem 1 08:59 - E(x²) 11:55 - E(ax) 14:44 - Practice Problem 2 27:45 - E(ax+b) 29:24 - Calculating Median using Probability 37:14 - Calculating Mode using Probability 38:54 - Calculating Variance using Probability 49:34 - Deriving Variance of x 55:15 - Calculating Variance using Derivation 57:36 - V(ax+b) 59:53 - Skewness 01:05:17 - Practice Problem 3 01:08:00 - Coefficient of Skewness If this video helps you or you find it informative, do like the video and share it with other actuarial science aspirants. Don’t forget to subscribe to our channel and press the bell icon so you never miss any new videos, updates, or guidance related to the actuarial industry. For more information about our coaching classes, kindly reach out to us: 📞 +91 8100598543 / 9147417974 🌐 http://www.actuatorseducation.com #ActuarialScience #Actuary #ActuarialScienceInstitute #CS1 #Statistics #Probability #RandomVariable #DiscreteRandomVariable #PDF #Expectation #Variance #Skewness #CoefficientOfSkewness #IAI #IFoA #SOA #ActuarialScienceOnlineCoaching #OnlineActuarialClasses #ActuarialScienceVideoLectures #ActuarialSciencePapers #ActuarialCoachingInKolkata #ActuarialEntranceExamCoaching #BestCoachingForActuarialScience #ActuarialVideoClasses #ActuarialScienceCoachingInstitute #ActuarialScienceCourse #OnlineCoachingForActuarialScience #Actuators #AEI #ActuatorsEducationalInstitute