4PLY 8. A nut company markets cans of deluxe mixed nuts containing almonds, cashews, and peanuts. Suppose the net weight of each can is exactly one pound, but the weight contribution of each type of nut is ran- dom. Because the three weights sum to 1, a joint probability model for any two gives all the necessary information about the weight of the third type. Let Y denote the weight of the almonds in a selected can and Yz denote the weight of cashews. Then the joint probability density function is f(y1, 2) = 24y1yz, 0