Distribution function and random variable

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SUMMARY

The discussion centers on the calculation of the cumulative distribution function (CDF) for a random variable, specifically referencing Table 2.1. The user inquires about the value of F_X(1) being 1/2, which is confirmed by counting the elements in the provided image. The calculation is derived from the ratio of favorable outcomes to total outcomes, leading to the conclusion that F_X(1) equals 4/8 or 1/2.

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PainterGuy
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Hi,

I cannot figure out how they got Table 2.1. For example, how come when x=1, F_X(x)=1/2? Could you please help me with it?

prob_11.jpg

Hi-resolution copy of the image: https://imagizer.imageshack.com/img923/2951/w9yTCQ.jpg
 
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You count four elements there in the table, OK ? So it is 4/8=1/2.
 
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