Editing 881: Probability

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==Explanation==
 
==Explanation==
  
[[Cueball]] and [[Megan]] are sitting on a hospital bed, reading a piece of paper with the statistics for {{w|breast cancer}} survival. It looks like Megan has just been diagnosed with breast cancer. The thick line represents the survival rate distribution (probability to be alive after X years, unconditioned): 81% are alive at 5 years, while 77% survive to 10 years. The dashed line represents the {{w|hazard function}} (the negative derivative of the thick line divided by the value of the thick line at each point, i.e. how fast the thick line falls with respect to the current value, or the risk of failing/dying at time t+Δt after having survived until time t as Δt approaches zero), which is the rate between the density of the failure distribution and the survival function. Cueball expresses how he used to find probability enjoyable because of its applicability to the real world, but now sees things differently facing a painful situation involving it.
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[[Cueball]] and [[Megan]] are sitting on a hospital bed, reading a piece of paper with the statistics for {{w|breast cancer}} survival. It looks like Megan has just been diagnosed with breast cancer. The thick line represents the survival rate distribution (probability to be alive after X years, unconditioned): 81% are alive at 5 years, while 77% survive to 10 years. The dashed line represents the {{w|hazard function}} (in very loose terms, the risk of failing/dying at time t+delta after having survived until time t), which is the rate between the density of the failure distribution and the survival function.
  
[[Randall]] wrote this comic after his fiancee was diagnosed with breast cancer. Two months after posting this strip, he posted [http://blog.xkcd.com/2011/06/30/family-illness/ this blog post] explaining the [[:Category:Cancer|cancer comics]].
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[[Randall]] wrote this comic after his fiancee was diagnosed with breast cancer. Two months after posting this strip, he posted [http://blog.xkcd.com/2011/06/30/family-illness/ this blog post] explaining the cancer strips.
 
 
The title text is a reference to [[55: Useless]], where his normal approach also fails him regarding love. Cueball's (and Randall's) normal approach — math — isn't much help in dealing with ''these''  types of emotional situations.
 
 
 
A number of further comics have addressed this scenario, in particular the retrospective and occasional series of comics [[1141: Two Years]], [[1928: Seven Years]] and [[2386: Ten Years]].
 
  
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The title text could be a reference to the comic [[55: Useless]]. Cueball's (and [[Randall]]'s) normal approach — math — isn't much help in dealing with ''this'' emotional situation, either. The phrase "normal approach" may also in this case be a pun on the {{w|Normal distribution}}, which is another probability distribution that is commonly used in statistics. Interpreted this way, the title text states that the "Normal distribution" is not used as a hazard function.
  
 
==Transcript==
 
==Transcript==
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:[A simple table.]
 
:[A simple table.]
:;5 years
+
:{| class="wikitable"
::81%
+
|-
:;10 years
+
|  5 years
::77%
+
| 81%
 +
|-
 +
| 10 years
 +
| 77%
 +
|}
  
 
:[Cueball and Megan are sitting on a bench, next to an Intravenous drip hanging from a rack. Cueball is holding a paper.]
 
:[Cueball and Megan are sitting on a bench, next to an Intravenous drip hanging from a rack. Cueball is holding a paper.]
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[[Category:Cancer]]
 
[[Category:Cancer]]
 
[[Category:Charts]]
 
[[Category:Charts]]
[[Category:Line graphs]]
 
 
[[Category:Math]]
 
[[Category:Math]]
 
[[Category:Statistics]]
 
[[Category:Statistics]]

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