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 Y1 denote the weight of the almonds in a selected car and Y2 denote the weight of cashews. Then the joint probability density function is (24yıy2, 0< yı< 1, 0< y2 < 1, yı + y2 < 1 0, fV1, y2) = elsewhere ) Find the Cov(Y1, Y2) then interpret your answer. Jo it norsible for Yi and Y2 to be independent? Of course explain your answer..

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 Y1 denote the weight of the almonds in a selected car and Y2 denote the weight of cashews. Then the joint probability density function is (24yıy2, 0< yı< 1, 0< y2 < 1, yı + y2 < 1 0, fV1, y2) = elsewhere ) Find the Cov(Y1, Y2) then interpret your answer. Jo it norsible for Yi and Y2 to be independent? Of course explain your answer..

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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