In a process of sintering (heating) two types of copper powder (see Exercise 5.152), the
Chapter 6, Problem 6.14(choose chapter or problem)
In a process of sintering (heating) two types of copper powder (see Exercise 5.152), the density function for Y1, the volume proportion of solid copper in a sample, was given by f1(y1) = $ 6y1(1 y1), 0 y1 1, 0, elsewhere. The density function for Y2, the proportion of type A crystals among the solid copper, was given as f2(y2) = $ 3y2 2 , 0 y2 1, 0, elsewhere. The variable U = Y1Y2 gives the proportion of the sample volume due to type A crystals. If Y1 and Y2 are independent, find the probability density function for U.
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