Engineering Mathematics 10 | Random Variable | GATE - For All Branches

This session defines a Random Variable as a function that assigns numerical values to the outcomes of a random experiment. We clearly distinguish between Discrete Random Variables (which take on countable values) and Continuous Random Variables (which take on any value within a range). You will learn the importance of the Probability Mass Function (PMF) for discrete variables and the Probability Density Function (PDF) for continuous variables. Crucially, we cover how to calculate the essential statistical measures—Mean (Expected Value) and Variance—using the respective functions. 📕 𝐁𝐚𝐭𝐜𝐡/𝐂𝐨𝐮𝐫𝐬𝐞 𝐋𝐢𝐧𝐤𝐬:- GATE GURUKUL Course Link - https://www.geeksforgeeks.org/courses/gate-premium All courses - https://www.geeksforgeeks.org/courses/category/gate?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions GATE Agni Pariksha Batch Link - https://www.geeksforgeeks.org/payments/gate-cse-agni-pariksha GATE 2026 CS & IT Test Series Link - https://www.geeksforgeeks.org/courses/gate-cse-it-test-series-2026 GATE 2026 DA Test Series Link - https://www.geeksforgeeks.org/courses/gate-da-testseries-2026 Mission ISRO CSE - https://www.geeksforgeeks.org/courses/mission-isro-cse Mission ISRO ECE - https://www.geeksforgeeks.org/courses/mission-isro-ece GATE SPL. Combo Course - CSIT + DA 2026 (Combo course) - https://www.geeksforgeeks.org/courses/gate-csit-da-2026?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (With Placement Prep) - https://www.geeksforgeeks.org/courses/gate-2026-placement-csit-da?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions GATE CSE Weekday (2026) - https://www.geeksforgeeks.org/courses/gate-2026-csit?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (2027) - https://www.geeksforgeeks.org/courses/gate-2027-csit?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (2028) - https://www.geeksforgeeks.org/courses/gate-2028-csit?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions GATE CSE Weekend (2026) - https://www.geeksforgeeks.org/courses/gate-2026-csit-weekend?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions GATE CSIT With Placement Preparation Complete Course (2026) - https://www.geeksforgeeks.org/courses/gate-2026-placement-csit?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions GATE Rank Booster With Expert - Curated Questions - https://practice.geeksforgeeks.org/courses/gate-rank-booster GATE CSIT With Placement Preparation Complete Course (2027) - https://www.geeksforgeeks.org/courses/gate-2027-placement-csit?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (2028) - https://www.geeksforgeeks.org/courses/gate-2028-placement-csit?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions GATE SPL. Combo Course - CSIT + DA (2027) - https://www.geeksforgeeks.org/courses/gate-csit-da-2027?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (2027 + Placement Prep.) - https://www.geeksforgeeks.org/courses/gate-2027-placement-csit-da?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (2028) - https://www.geeksforgeeks.org/courses/gate-csit-da-2028?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (2028 + Placement Prep.) - https://www.geeksforgeeks.org/courses/gate-2028-placement-csit-da?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions Gate CSE Semester & Placement Preparation (2027) - https://www.geeksforgeeks.org/courses/gate-cse-2027-semester-placement?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions (2028) - https://www.geeksforgeeks.org/courses/gate-cse-2028-semester-placement?utm_source=youtube&utm_medium=livestreams&utm_campaign=gatelivesessions For any query visit https://www.geeksforgeeks.org/courses/category/gate Or reach us at +91-08069289001 RECOMMENDED CHANNELS FOR YOU: GeeksforGeeks GATE EE/EC/IN - https://www.youtube.com/@GfG_EC_EE_IN GeeksForGeeks GATE English - https://www.youtube.com/@GeeksforGeeksGATEEnglish 📚 Stay tuned for more Maha Marathon sessions on all GATE topics! 💬 Don't forget to comment your doubts and feedback! 👉 Subscribe to our channel for more GATE preparation content and hit the 🔔 to never miss an update! 👍 Like | 🔄 Share | 📢 Spread the word #RandomVariable #DiscreteRandomVariable #ContinuousRandomVariable #PMF #PDF #ExpectedValue #Variance #ProbabilityForGATE #GATEEngineeringMathematics #EngineeringMathematicsGATEAllBranches #GATE2026 #EngineeringMathematicsGATEExam #EngineeringMathematicsBySakshiMam #GfG