A process for producing an industrial chemical yields a product containing two types of impurities. For a specified sample from this process, let Y1 denote the proportion of impurities in the sample and let Y2 denote the proportion of type I impurities among all impurities found. Suppose that the joint distribution of Y1 and Y2 can be modeled by the following probability density function: f(y, y2) = 2(1- y2) if 0<=y1<=1 , 0<=y2<=1 and 0 otherwise Find expected value of the proportion of type I impurities in the sample.

Asked By Brinda On 05/15/2022 11:43