Binomial Distribution: Don't Fail This! | Defective Pens Problem

Binomial Distribution | Defective Pens Problem | VTU 3rd Semester | Karnataka In this video, you'll learn how to solve Binomial Distribution problems using the defective pens experiment — a must-know topic for VTU 2025 Scheme and related syllabi. APPLICABLE FOR VTU SUBJECT CODES: 1BMATCS301 – Module 3: Probability Distributions 1BMATEE301 – Module 4: Probability Distributions & Sampling Theory 1BMATCV301 – Module 3: Probability Distributions PROBLEM SOLVED IN THIS VIDEO: The probability of a pen manufactured by a factory being defective is 0.1. If 12 such pens are manufactured, what is the probability that: (i) Exactly 2 are defective (ii) At least 2 are defective (iii) None of them are defective PREVIOUS VIDEO: Coin tossed 4 times – find probability problems    • Easily Solve Binomial Distribution Problem...   NEXT VIDEO IN THIS SERIES: 800 families with 4 children each – expected values    • Can You Solve This? Binomial Distribution ...   COMPLETE PLAYLISTS BY SUBJECT CODE: 1BMATCS301 – Module 3: Probability Distributions    • 1BMATCS301 Module 3 | Probability Distribu...   1BMATEE301 – Module 4: Probability Distributions & Sampling Theory    • 1BMATEE301 Module 4 | Probability distribu...   1BMATCV301 – Module 3: Probability Distributions    • 1BMATCV301 Module 3 | Probability Distribu...   UPDATED PROBABILITY DISTRIBUTIONS PLAYLIST (All 3 Codes): Binomial, Poisson, Normal & Exponential Distribution:    • Probability Distributions | Binomial, Pois...   OTHER MODULE PLAYLISTS (VTU 2025 Scheme): 1BMATCS301: Module 1 – Modular Arithmetic:    • 1BMATCS301 Module 1: Modular Arithmetic | ...   Module 2 – Statistics:    • 1BMATCS301 Module 2 | Statistics Complete ...   Module 4 – Joint Probability Distribution:    • 1BMATCS301 Module 4 | Joint Probability Di...   Module 5 – Statistical Inference:    • 1BMATCS301 Module 5 | Statistical Inferenc...   1BMATEE301: Module 1 – Complex Analysis:    • 1BMATEE301 Module 1 | Complex Analysis Pro...   Module 2 – Fourier Series:    • 1BMATEE301 Module 2 | Fourier Series Compl...   Module 3 – Fourier Transforms & Z-Transforms:    • 1BMATEE301 Module 3 | Fourier Transforms &...   Module 5 – Linear Programming Problems:    • 1BMATEE301 Module 5 | Linear Programming P...   1BMATCV301: Module 4 – Sampling & Estimation:    • 1BMATCV301 Module 4 | Sampling and Estimat...   Module 5 – Correlation & Regression:    • 1BMATCV301 Module 5 | Correlation, Regress...   WHO IS THIS FOR? BE/B.Tech students of VTU & Autonomous Colleges in Karnataka Subject Codes: 1BMATCS301, 1BMATEE301, 1BMATCV301 1st / 2nd / 3rd Semester (depends on your scheme) 2025 Scheme - 3rd Semester Autonomous colleges - check your syllabus CS branches: CSE, ISE, AIML, AI & DS, CSE (IoT), CSE (Cyber Security), Data Science, IT Other branches: ECE, EEE, Mechanical, Civil Students preparing for VTU internals, externals & backlog exams WHY WATCH THIS VIDEO? Step-by-step solutions for VTU exam problems Exam-focused VTU & Autonomous problems Simple, easy-to-understand method Covers repeated VTU exam questions Perfect for last-minute VTU revision STAY CONNECTED - Get All VTU Karnataka Maths Updates! WhatsApp Channel: https://whatsapp.com/channel/0029Vb6c... Telegram: https://t.me/vtumathswithmathematicst... Instagram: https://www.instagram.com/_mathematic... Subscribe & hit the bell icon so you never miss a video! If this video helped you, LIKE, SHARE with your VTU classmates, and COMMENT which problem you want next! #VTU #VTUKarnataka #1BMATCS301 #1BMATEE301 #1BMATCV301 #BinomialDistribution #ProbabilityDistributions #VTU2025 #VTU3rdSem #EngineeringMathematics #VTUMaths #VTU2025Scheme #VTUExams #VTUImportantQuestions #CSE #ISE #AIML #BETech #Autonomous