Binomial Distribution - Example Problem 7 | Probability Distribution | Engineering Mathematics

📘 Fitting Binomial Distribution – Solved Examples In this video, we solve important problems on fitting Binomial Distribution to observed data step by step. These types of questions are frequently asked in university exams, VTU, B.Sc., B.E., B.Tech., and competitive tests. 🔢 Questions Covered in this Video: Question 1 (00:20) Five dice were thrown 96 times, and the number of times an odd number turned up in the experiment is given below. Fit a Binomial Distribution to this data and calculate the expected frequencies. Number of dice showing 1, 3, or 5: 0, 1, 2, 3, 4, 5 Observed frequencies: 1, 10, 24, 35, 18, 8 Question 2 (04:15) Four coins were tossed 100 times, and the results obtained are given below. Fit a Binomial Distribution to this data and calculate the theoretical frequencies. Number of heads: 0, 1, 2, 3, 4 Observed frequencies: 5, 29, 36, 25, 5 ✨ What You’ll Learn in This Video: ✔ How to fit a Binomial Distribution to observed data ✔ Step-by-step calculation of expected/theoretical frequencies ✔ How to compare observed vs expected frequencies ✔ Useful exam tips and shortcuts for VTU, B.Sc., B.E., B.Tech., and competitive exams 📌 Make sure to watch till the end for the complete solution and explanation. 📘 Probability Distributions – VTU BCS301 Module 1 🎥 Full Playlist (Autoplay all problems) https://www.youtube.com/playlist?list=PLM9RnGtTy9_-Xd_PmY1uXnHZ1LrXCB8N- 📌 Problems with Direct Links: 1️⃣ Coin & Die Problems – https://youtu.be/_8Zk8FuhDsE 2️⃣ Discrete Distribution (Mean & Var) – https://youtu.be/QqI7nJLrP0I 3️⃣ Find k, Mean & Std Dev – https://youtu.be/Kgd8qjBf-f8 4️⃣ Perished Apples Distribution – https://youtu.be/NBqEhyVK-T4 5️⃣ Probability Function (Find k & P(x)) – https://youtu.be/fPvW4izc0aM 6️⃣ Distribution P(x)=kx (Mean & Var) – https://youtu.be/JV0M3Sf4yRU 7️⃣ Binomial (Mean & Std Dev) – https://youtu.be/B_LgSxsYHZU 8️⃣ Binomial (Coin Toss & Def Pens) – https://youtu.be/UCJ7wN52lrw 9️⃣ Binomial (Def Lamps & Survival) – https://youtu.be/S62yQdSNAZ0 🔟 Binomial (Telephone & Quiz) – https://youtu.be/UX45WcMTyB4 1️⃣1️⃣ Poisson (Defectives in Samples) – https://youtu.be/iW4oBFDzAZ8 1️⃣2️⃣ Poisson (Students Test) – https://youtu.be/5LZGgkD5oF4 1️⃣3️⃣ Airline Seats & Families – https://youtu.be/8jb1RL-XnE0 1️⃣4️⃣ Fitting Binomial (Dice & Coins) – https://youtu.be/hfijBm3gREE 1️⃣5️⃣ Poisson (Mean & SD) – https://youtu.be/d7-z9y8CKp8 1️⃣6️⃣ Fit Poisson (Accidents Data) – https://youtu.be/fr84-j_c4f4 1️⃣7️⃣ Poisson (Blades & Fuses) – https://youtu.be/MjiEem7DmqY 1️⃣8️⃣ Poisson (Injection Reactions) – https://youtu.be/MZA0Str3wIE 1️⃣9️⃣ PDF f(x)=(x/6)+c – https://youtu.be/DwenlGtlEbw 2️⃣0️⃣ PDF f(x)=kx² (0 to 3)– https://youtu.be/H-xgw8JJkoc 2️⃣1️⃣ PDF f(x)=kx² [-3 to 3] – https://youtu.be/Ui91zRVvlaA 2️⃣2️⃣ PDF f(x)=kx·e^(-x) – https://youtu.be/9wRCZv4E1l8 2️⃣3️⃣ Exponential (Mean=3) – https://youtu.be/ZIJDFUmUW6k 2️⃣4️⃣ Exponential (Mean=5) – https://youtu.be/whINMS95qvk 2️⃣5️⃣ Exponential (Calls) – https://youtu.be/PZx5FZ_8N3M 2️⃣6️⃣ Exponential (Showers) – https://youtu.be/LXlkyEIfKGA 2️⃣7️⃣ Normal (Mean=30, SD=5) – https://youtu.be/tawEPP76zZg 2️⃣8️⃣ Normal (1000 Students Marks) – https://youtu.be/thmpqNzHy98 2️⃣9️⃣ Normal (Bulb Lifetime) – https://youtu.be/1VqRlWwn4QE 3️⃣0️⃣ Normal (Find Mean & SD) – https://youtu.be/xfXAB36pVGM 3️⃣1️⃣ Normal (Exam Marks) – https://youtu.be/7HOQD4roabU 💡 Support our work: 👉 https://www.youtube.com/channel/UC_OTtwh8_-q-bA7DoS--syg/join #BinomialDistribution #ProbabilityDistribution #StatisticsProblems #ExamPreparation #EngineeringMathematics #VTUExam #BScMaths #BTechMaths #ExpectedFrequencies #MathsSolutions