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Hey, guys in this video, Im going to do this statistics and probability problem. In this problem, were given a joint pdf, which is for x1 and x2, and were asked to find the joint pdf of y1 and y2, where y1 and y2 are linear transformations. So you have two random variables, and then a transform to two new random variables and youre asked to find the joint probability of the new two random variables. This is a simple, introductory example for a problem like this. So lets go ahead and get started. Theres a formula for transforming the pdf of x1 and x2 to a new two variables, so let me go ahead and write the formula before we continue. That is, fy1,y2 is equal to this long thing here. This is basically telling you that you do the change of variables. Were going to solve for x1 and x2 using these equations here that were given. Were going to plug that back in to the original function that were given as well and find new ranges and also multiply this function by the Jacobian and