A learning experiment requires a rat to run a maze (a network of pathways) until it

Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly, William Mendenhall Richard L. Scheaffer

Problem 5.119 Chapter 5

Mathematical Statistics with Applications | 7th Edition

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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly, William Mendenhall Richard L. Scheaffer

Mathematical Statistics with Applications | 7th Edition

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Problem 5.119

A learning experiment requires a rat to run a maze (a network of pathways) until it locates one of three possible exits. Exit 1 presents a reward of food, but exits 2 and 3 do not. (If the rat eventually selects exit 1 almost every time, learning may have taken place.) Let Yi denote the number of times exit i is chosen in successive runnings. For the following, assume that the rat chooses an exit at random on each run. a Find the probability that n = 6 runs result in Y1 = 3, Y2 = 1, and Y3 = 2. b For general n, find E(Y1) and V(Y1). c Find Cov(Y2, Y3) for general n. d To check for the rats preference between exits 2 and 3, we may look at Y2 Y3. Find E(Y2 Y3) and V(Y2 Y3) for general n.

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HSA 3111 CHAPTER 3 STUDY GUIDE Evolution of Health Services in the United States The U.S. Health Care Delivery System The US health care system is shaped by anthrocultural values and the social, political, and economic antecedents. ü A national health care program has failed to make inroads § Although compromises...

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Chapter 5, Problem 5.119 is Solved
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Textbook: Mathematical Statistics with Applications
Edition: 7th
Author: Dennis Wackerly, William Mendenhall Richard L. Scheaffer
ISBN: 9780495110811

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