Editing 881: Probability
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==Explanation== | ==Explanation== | ||
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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}} (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. | [[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. |