Uniform random variable X with parameter a,b:
F(X)=$\frac{1}{b-a}$
F(X)=2 ,a=.5 and b= 1.
To find probability distribution of the interval (0.55,0.60) and (0.75 , 0.85), find the area of the region they cover.
Probability (X)= area 1 + area 2
area 1 :- As it will make rectangle with height=2 and width=0.60-0.55=0.05. Area1= 0.05*2=0.1
area 2 :-
As it will make rectangle with height=2 and width=0.85-0.75=0.1. Area1= 0.1*2=0.2
Probability = 0.1+0.2=0.3
https://en.wikipedia.org/wiki/Uniform_distribution_(continuous)