Probability function with specification for different range ?by RufusDawes Tags: function, probability, range, specification 

#1
Mar2612, 05:39 AM

P: 163

I understand a probability function can be defined according to range ?
So for example, 0>x f(x) = 0 for 0>x>100 f(x) = 1/100 to work out probability it is integration of that function. So how does it work if for some other range there is a DIFFERENT functions ? Is it that there will be multiple equations for probability depending on x ? 



#2
Mar2612, 06:00 AM

P: 4,570

You do the same thing, but break the integral up into pieces for each appropriate interval. For expectation, variance etc: same thing: split up the integral according to the intervals and do the integration to get mean, variance, etc. 



#3
Mar2712, 03:31 AM

P: 163

If there are 2 functions one with a limit 0>x>1 and 1>=x>2 and the other is for x>=2 the integrals of the whole thing should = 1 ? does that mean that I can use the value of 1 as the upper bit for the first integral as it is so small it won't affect the area ? 



#4
Mar2712, 04:30 AM

P: 4,570

Probability function with specification for different range ? 


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