Complete Probability & Statistics Marathon Part:1| GATE DA 2026

GATE DA 2027 FULL COURSE 📌Early Bird Discount @30% (Valid till March 3rd, 11:59 PM) https://www.taai.live/learn/fast-chec... 📌40% discount for students who have already enrolled for GATE DA full course or Maths, ML and AI bundle previously. Kindly fill this Google Form (Valid till 3rd March, 11:59 PM) https://forms.gle/N5cGWPGJF6HNVPs89 This full-length one-shot marathon covers the entire Probability & Statistics syllabus for GATE DA 2026 in a clear, structured, and exam-oriented manner. Perfect for concept building, revision, and last-minute preparation. 📚 Complete Probability Syllabus | GATE DA 2026 ✔ Probability axioms, events & Bayes’ Theorem ✔ Expectation, variance, mean & standard deviation ✔ Correlation & covariance ✔ Random variables (PMF, PDF, CDF, conditional PDF) ✔ Key distributions: Bernoulli, Binomial, Poisson, Normal, Exponential, t & Chi-square ✔ CLT, Confidence Interval, Z-test, T-test & Chi-square test 📘 Click the link below to download all session PDFs: https://drive.google.com/drive/folder... Jump to topic: 00:00 – Introduction 00:00:54: GATE DA Probability & Statistics syllabus 00:03:00: Randomness, experiments, trials, sample space 00:05:00: Events, mutually exclusive, union & intersection 15:00 – Set Theory & Probability 00:16:00: “Only A” probability regions 00:20:00: At least one event, neither A nor B 00:25:00: Dice examples & conditional logic 30:00 – Conditional & Total Probability 00:33:00: Conditional probability (medical test problem) 00:39:44: 3 boxes and ball selection problem 45:00 – Bayes & Random Variables 00:46:00: Bayes’ theorem (monster path problem) 00:48:40: Job application probability 00:54:21: Random variables: discrete vs continuous 00:55:53: PMF basics 01:00:00 – CDF & PDF 01:00:04: Cumulative distribution function 01:01:04: Step functions (discrete case) 01:04:43: Continuous RVs & PDF 01:07:00: Finding constants using integration 01:15:00 – Mixed Random Variables 01:17:00: Jumps in CDF 01:23:50: Limits and CDF properties 01:30:00 – Mean, Median & Mode 01:30:16: PDF–CDF relationship 01:31:25: Mode & median concepts 01:36:00: Median of exponential distribution 01:45:00 – Bivariate Variables 01:41:12: Comparing CDFs 01:47:00: Joint random variables 01:54:30: Joint PDF & double integration 02:00:00 – Bivariate Distributions 01:56:00: Setting integration limits 02:11:59: Marginal PDFs (GATE focus) 02:15:00 – Joint CDF & Independence 02:26:00: Joint PDF from CDF 02:30:00 – Conditional PDFs 02:38:49: Conditional distribution 02:41:48: Solving f(x|y) problems 02:45:00 – Advanced Integration 02:52:22: Break 03:15:00 – Independent Variables 03:21:46: Independence basics 03:23:00: Checking independence 03:24:30: Expectation concept 03:30:00 – Expectation Properties 03:30:35: Linearity of expectation 03:33:00: Expected cost problem 03:36:00: Expectation of sums 03:45:00 – Variance & Covariance 03:37:27: Variance formula 03:41:00: Covariance & correlation 03:43:00: Covariance calculation 04:00:00 – Variance Properties 04:03:13: Independent vs uncorrelated 04:08:15: Variance problems 04:15:00 – Bernoulli & Binomial 04:15:00: Trick for EX² 04:27:15: Bernoulli variable 04:29:06: Binomial distribution 04:30:00 – Binomial Problems 04:32:08: Dice sum problem 04:35:13: Defective discs 04:39:05: Married couples problem 04:44:34: Poisson basics 04:46:00: Sum of Poisson variables 04:49:54: Poisson problem solving 05:00:00 – Uniform & Normal 05:01:22: Uniform distribution 05:06:12: Bivariate uniform 05:12:47: Normal distribution 05:15:00 – Normal Problems 05:13:03: Linear transformation 05:14:11: Sum of normals 05:30:00 – Exponential Distribution 05:26:30: Waiting time problem 05:45:00 – Chi-Square & t-Distribution 05:39:05: Chi-square distribution 05:40:04: Target error problem 05:46:24: t-distribution 05:48:44: Conditional expectation intro 06:00:00 – Conditional Expectation 06:02:50: Conditional expectation problem 06:11:05: Final joint density problem 06:15:00 – Conclusion Join our Communities for Notes: Telegram: https://t.me/ManojGateDA Discord:   / discord   To check out the course- https://www.taai.live/ Join our complete course to boost your GATE DA preparation. 🔹About the complete course: ✅ Complete syllabus coverage for GATE DA. ✅ Concept-focused lectures + regular doubt sessions. ✅ Subject-specific doubt channels. ✅ Expert guidance from our faculty (Manoj Sir, AIR-13). This course is for anyone who wishes to crack GATE DA, whether you're an absolute beginner or a pro. Join our community: 📌 Website: https://www.taai.live 📌 Telegram: https://t.me/Manoj_Gate_DSAI 📌 Discord:   / discord   📌LinkedIn: https://www.linkedin.com/company/taai... 🔔 Subscribe to our channel and hit the bell icon to get more updates.