Gate ee question

Question

Let X be a random variable with probability density function    

F(x) ={

0.2  for |x|<=1

0.1  for 1<|x|<=4

0    otherwise}

The probability P(0.5<X<5) is?

What is the relevance of mod here?

Comments

is it 0.4 ??

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Yes it is 0.4 but what is the relevance of mod over x here?

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see this,

we have to find probability of red zone, though here is no use of mod.