A fair die with k faces (k 2), numbered.. ,k, is rolled n times, with each roll
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Question:
A fair die with k faces (k 2), numbered.. ,k, is rolled n times, with each roll being independent of all other rolls. Let X be a random variable for the number of times the ith face shows up. For each of the following parts, your answers should be in terms of n and k
(a) What is the size of the sample space? (How many possible outcomes are there?)
(b) What is the distribution of X, for 1 SiSk?
(c) What is the joint distribution of Xi,X5 ,X?
(d) Are Xi and X2 independent ran?
Related Book For
Probability and Statistics
ISBN: 978-0321500465
4th edition
Authors: Morris H. DeGroot, Mark J. Schervish
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