Using method of transformations to deal with this question.I want the detailed and clear solution. [8] 3. In a process of sintering(heating) two types of copper powder, the density function for Y1,...

Using method of transformations to deal with this question.I want the detailed and clear solution.

Extracted text: [8] 3. In a process of sintering(heating) two types of copper powder, the density function for Y1, the volume proportion of solid copper in a sample, was given by J 6y1(1 – y1) 0< y1="">< 1="" f1(y1)="elsewhere" the="" density="" function="" for="" y2,="" the="" proportion="" of="" type="" a="" crystals="" among="" the="" solid="" copper,="" was="" given="" as="" (3y="">< y2="">< 1="" 1o="" f2(४2)="elsewhere" the="" variable="" u="Y¡Y2" gives="" the="" proportion="" of="" the="" sample="" volume="" due="" to="" type="" a="" crystals.="" if="" yi="" and="" y,="" are="" independent,="" find="" the="" probability="" density="" function="" for="">