A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Chapter 1, Problem 1.31P
If 8 new teachers are to be divided among 4 schools, how many divisions are possible? What if each school must receive 2 teachers?
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Pam, Rob and Sam get a cake that is one-third chocolate, one-third vanilla, and one-third strawberry as shown below. They wish to fairly divide the cake using the lone chooser method. Pam likes strawberry twice as much as chocolate or vanilla. Rob only likes chocolate. Sam, the chooser, likes vanilla and strawberry twice as much as chocolate. In the first division, Pam cuts the strawberry piece off and lets Rob choose his favorite piece. Based on that, Rob chooses the chocolate and vanilla parts. Note: All cuts made to the cake shown below are vertical.What pieces would Sam choose based on the Pam and Rob's second division of their own pieces?
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EXAMPLE 6.2
In Example 5.4, we considered the random variables Y₁ (the proportional amount
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3y1, 0 ≤ y2 yı≤ 1,
f(y1, y2) =
0,
elsewhere.
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Chapter 1 Solutions
A First Course in Probability (10th Edition)
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