Can I have a detailed expalanation on the following question?I've included the question and my work in two images.If I've made any mistakes in my work, kindly point them out and explain the method of solving this problem in the correct manner.Thank you! 2(1-42) {f os Y,S !,0< %€!f(gi, 42)=20%3Dotherwis eLet Yz demote the proportron of type I impuritles among allPmpuritzes focend eu the sample.The margni al probabilias dencay fun ch ponot Y,.fy, Cb) =fr.v, CYi, Yz) dyz%3D24.J 2(1-42) dz22o[1-0]- 2 [%C*-»]] = 2-€(x* )] - 2-1ECY2) = S fr Cyx) dy, = Sidy,e [%]o |I dy, = [%]% zIfreCys) dyzY2 =0ECYz) = Ivalue of the proporteon of type I mpurties in-. Expeotedthe sample = /%3D A process for producing an industrial chemical yields a product containing two types of im-purities. For a specified sample from this process, let Y1 denote the proportion of impuritiesin the sample and let Y2 denote the proportion of type I impurities among all impuritiesfound. Suppose that the joint distribution of Y1 and Y2 can be modeled by the followingprobability density function:2(1 – y2) if 0 < y1 < 1,0 < y2 <1f(y1, Y2) =otherwiseFind expected value of the proportion of type I impurities in the sample.

Name: Can I have a detailed expalanation on the following question?I've incl
Uploaded: 2024-03-20T06:38:44.000Z
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Description: Can I have a detailed expalanation on the following question?I've included the question and my work in two images.If I've made any mistakes in my work, kindly point them out and explain the method of solving this problem in the correct manner.Thank y