Mind on Statistics
5th Edition
ISBN: 9781285463186
Author: Jessica M. Utts, Robert F. Heckard
Publisher: Brooks Cole
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Question
Chapter 7, Problem 7.1E
To determine
To indicate: The given situation in terms of a random circumstance and the related
Expert Solution & Answer
Answer to Problem 7.1E
Whether the domestic flight is late or not late will be a random circumstance here. The probability of the flight arriving on time is 0.787, and the probability of the flight being late is 0.213.
Explanation of Solution
Given information:
According to the website, 78.7% of the flights of the top 18 airlines are not late.
Concept used:
Any situation where the outcome is unexpected is said to be a random circumstance. In many situations, the result is not known until after it is observed or visible.
In this case, the requirement is to represent the term in random circumstances. There can be two possible cases for any random
As it is mentioned on the website that 78.7% of the flights of the top 18 airlines are not late, it can be concluded that there is a 0.787 probability that the flight will not be late. There may be another case too. The probability that the flight will not be on time is 0.213.
Therefore, the random circumstance for this case will be the domestic flight is not late, or the flight is late. The probability the flight is on time is 0.787, and the probability of arriving on the flight late is 0.213.
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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.Which is a second division that Rob would make of his share of the cake?
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Theorem 2.6 (The Minkowski inequality)
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E|Y P <00. Then
X+YpX+Yp
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