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Joint probability density function problems for continuous r.v.[Marginal, conditional probability]

Example 1 at 8:34 and Example 2 at 22:35 (as word problem) In this video, we discussed the joint probability density function of two-dimensional random variables (X,Y). In the beginning, I discussed all the important formulae and remarks. Discussed two problems of two-dimensional continuous r.v. X and Y, one with constant limits and the other with variable limits, covering the topics joint density function, marginal density function, conditional distribution and statistical independence. Example 1(all constant limits ) is started at 8.32 Example 2 ( with variable limits )is started at 22:25