# In Exercise 5.12, we were given the following joint probability density function for the ## Problem 5.56 Chapter 5

Mathematical Statistics with Applications | 7th Edition

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Problem 5.56

In Exercise 5.12, we were given the following joint probability density function for the random variables Y1 and Y2, which were the proportions of two components in a sample from a mixture of insecticide: f (y1, y2) = 2, 0 y1 1, 0 y2 1, 0 y1 + y2 1, 0, elsewhere. Are Y1 and Y2 independent?

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Week 5 & 6: Probability 4 October 2016, 11 October 2016 Basic Statistics for Research Professor HK Dong Wendy Liu Probability – numerical measure of the likelihood an event will occur  Lies between 0 and 1  Sum of all probabilities of all possible outcomes is 1 Method 1: approximation  Empirical frequency obtained by experimentation Method 2: actual calculation ...

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##### ISBN: 9780495110811

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In Exercise 5.12, we were given the following joint probability density function for the

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