This appears to be a simple discrete random variable with a probability mass function. The problem is that in that case, you cannot have assignments like 1-2, 2-4
The outcome 2 cannot be assigned two different probabilities: 5/10 and 3/10.
Further, this cannot be a distribution with probability assigned to the intervals you give with discontinuities at the interval endpoints because that would not yield a valid probability density function. The total measure (integral) of those step functions would exceed 1.
Here is a valid probability mass function. I'll just assign the probability at the midpoint of the interval (but that may not be correct for your case)
x = [1.5 3 5];
y = [1/2 3/10 2/10];
bar(x,y)
