In a manufacturing plant that produces bicycle parts, let X be the voltage that was applied to machine a batch, and Y be the proportion of defects in that batch. Assume the joint density function of X...

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Extracted text: In a manufacturing plant that produces bicycle parts, let X be the voltage that was applied to machine a batch, and Y be the proportion of defects in that batch. Assume the joint density function of X and Y is as follows S{(x+ xy), if 0 < x="">< 2,="" 0=""><>< 1,="" 0,="" fx,x="" (x,="" y)="otherwise." (i)="" find="" the="" probability="" p(0="">< x="">< 1,="" 0="">< 0.6)="" (ii)="" find="" the="" marginal="" pdf="" of="" y.="" (iii)="" are="" x="" and="" y="" independent?="" justify="" your="">