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Welcome to Week 7 Lecture 7 of the course "Statistics for Data Science - I" by Prof. Andrew Thangaraj. Full Course: https://study.iitm.ac.in/ds/course_pages/BSMA1002.html Video Overview This lecture introduces the law of total probability and Bayes’ Theorem, two fundamental tools in probability theory. The session begins with the definition and intuition behind total probability and then explains how Bayes’ Theorem helps in updating probabilities when new information is available. Using practical examples, including an insurance company scenario, the lecture demonstrates how these concepts can be applied to real world problems. By the end, learners will understand how to use Bayes’ Rule to interpret conditional probabilities and make data driven inferences. About IIT Madras' online Bachelor of Science programme IIT Madras offers four-year BS programmes that aim to provide quality education to all, irrespective of age, educational background, or location. The BS programme has multiple levels, which provide flexibility to students to exit at any of these levels. Depending on the courses completed and credits earned, the learner can receive a Foundation Certificate from IITM CODE (Centre for Outreach and Digital Education), Diploma(s) from IIT Madras, or BSc/BS Degrees from IIT Madras. For more details, Visit: https://www.iitm.ac.in/academics/study-at-iitm/non-campus-bs-programmes #TotalProbability #BayesTheorem #ConditionalProbability #ProbabilityTheory #Probability #Statistics #DataScience #MachineLearning #Events #SampleSpace #Bias #Theorem #MutuallyExclusive #IndependentEvents #ProbabilityRules #Explanation #Example #Lecture #Tutorial #Analytics #Inference #QuantitativeMethods #StatisticalLearning #DataScienceEducation
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