Joint Probability Distribution | Covariance & Marginal to Joint Table

In this video, I explained two important types of Joint Probability Distribution problems that most students find confusing in exams. Each concept is taught in a very simple and logical way so that you can solve any similar question on your own.

📌 What You Will Learn in This Video:

✔ Type 1 – Covariance-Based Questions

• If the question asks only for Cov(X, Y), why we must first find E(X) and E(Y)

• Step-by-step calculation of E(X), E(Y), E(XY) and then Cov(X, Y)

• If Cov(X, Y) = 0, are X and Y independent? Explained with logic

✔ Type 2 – Building Joint Probability Table from Marginal Table

• When the question gives only marginal probabilities of X and Y

• How to construct the joint probability table from that data

• Formula and method to check whether X and Y are independent or dependent

🎯 Why This Video is Important?

These two types of questions are very common in engineering mathematics, probability & statistics, data science basics, and semester exams. After watching this video, you will never get confused while solving Covariance, Independence, or Joint Table formation questions.

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