Three of these cards are selected at random. Define an rv W by W = the sum
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Three of these cards are selected at random. Define an rv W by W = the sum of the resulting numbers, and compute the pmf of W. Then compute and o. [Hint: Consider out- comes as unordered, so that (1, 3, 7) and (3, 1, 7) are not different outcomes. Then there are 35 outcomes, and they can be listed. (This type of rv actually arises in connection with a statistical procedure called Wilcoxon's rank-sum test, in which there is an x sample and a y sample and W is the sum of the ranks of the x's in the combined sample; see Section 15.2.)
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Probability And Statistics For Engineering And The Sciences
ISBN: 9781133169345
8th Edition
Authors: Jay L Devore, Roger Ellsbury
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