Mean E[X], Variance, and Standard Deviation of Discrete Random Variable

In this video, we dive deep into the concepts of "Mean (E[X]), Variance (Var(X)), and Standard Deviation " of a Discrete Probability Distribution. 📌 If you're confused about how these formulas are derived and why we don't divide by n in the mean E[X] like we do in a normal discrete series, this video clears all your doubts! 🎯 Key Highlights: What is the Mean or Expected Value (E[X]) in a probability distribution? Why E[X] ≠ (Σx)/n for random variables How to compute Variance and Standard Deviation Step-by-step solved examples with probabilities Real-life examples to understand random variables better 🔍 This video is perfect for students of: B.Tech, B.Sc, BCA, MCA, BBA, MBA Engineering Mathematics Probability & Statistics courses 🔗 Watch my previous video on PMF/PDF of Discrete Random Variable here: Introduction to Random Variables | Discrete Random Variable    • Introduction to Random Variables | Discret...   Probability Distribution Function (PDF) | Probability Mass Function (PMF)    • Probability Distribution Function (PDF) | ...   📚 Related Topics Covered: Discrete Random Variable Probability Mass Function (PMF) Expected Value Variance Formula Standard Deviation Explained If you found this video helpful, don't forget to LIKE 👍, SHARE 📤 and SUBSCRIBE 🔔 for more educational content. Video Chapters: 00:00 Recap of random variable, PDF/PMF 02:06 Mean/ Expected value of random variable 03:48 Why E[X] ≠ Σx/n? i.e. why we don't divide anything in finding mean 09:42 Example 1: Finding mean/ expectation of X 11:02 Example 2 : Finding Expectation of defective items 13:52 Example 3: Finding mean of a random variable denoting upturn face on a die 16:00 Example 4: Mean/ Expectation of marks 18:01 Linearity of Expectation 19:02 How to find E[X^2], E[X^3], E[X^4] and so on..... 20:25 Variance and Standard deviation of a random variable 22:09 Why E[(X-μ)^2]=E[X^2]-(E[X])^2 24:42 Example of variance and standard deviation of a random variable 📱 Follow us on Instagram for daily math tips: https://www.instagram.com/dr.harikris... Facebook   / jcyaeucjnmn9ybk3   #probabilitydistributions #btechmaths #probabilitytheory #probability_statistics #probabilitydistribution #statistics #probabilitytricks #datascience 📲 Follow me on: Instagram: [Your handle] Facebook: [Your page] LinkedIn: [Your profile]