Probability Distribution | Example Problem 4 | Engineering Mathematics

📘 Discrete Probability Distribution – Find k, Probabilities & More In this video, we solve an exam-focused problem on Discrete Probability Distribution, Random Variables, and Probability Calculations step by step. This type of problem is very important for university exams and competitive tests. 🔢 Question Covered in this Video: Question (00:20) The pdf of a variate x is given by the following table. Find the value of k so that it represents a valid probability distribution. Also, calculate: P(x greater than or equal to 5) P(x between 3 and 6, not including 3 but including 6) Values of x: 0, 1, 2, 3, 4, 5, 6 Corresponding P(x): k, 3k, 5k, 7k, 9k, 11k, 13k ✨ What You’ll Learn in This Video: ✔ How to determine the value of k in a discrete probability distribution ✔ How to compute probabilities for given ranges of x ✔ Step-by-step explanation with clear reasoning ✔ Useful for VTU, B.Sc., B.E., B.Tech., and competitive exams 📌 Make sure to watch till the end for complete clarity! 📘 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 #ProbabilityDistribution #RandomVariable #DiscreteProbability #StatisticsProblems #ExamPreparation #EngineeringMathematics #VTUExam #BScMaths #BTechMaths #MathsSolutions #StepByStepMaths