The random variables X and Y , representing the weights of
Chapter 8, Problem 7.10(choose chapter or problem)
The random variables X and Y , representing the weights of creams and toees, respectively, in 1kilogram boxes of chocolates containing a mixture of creams, toees, and cordials, have the joint density function f(x,y)=24xy, 0 x 1, 0 y 1,x+ y 1, 0, elsewhere. (a) Find the probability density function of the random variable Z = X + Y . (b) Using the density function of Z, nd the probability that, in a given box, the sum of the weights of creams and toees accounts for at least 1/2 but less than 3/4 of the total weight.
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