(I have finally edited my question)
I have one equation being compared to a number:
X = any positive real number
X'= (L)+2(Y)+3(Z)
The value of L, Y, and Z are always between 0-1 and its value can change, but it has a probability associated with it. If I use actual numbers, imagine:
L= 0.0-0.3 (90% of the time),
0.0-0.5 (60% of the time),
0.0-0.9 (10% of the time)
Y= 0 or 1 (Y=1, 1% of the time and Y=0, 99% of the time)
Z=
0.00-0.25, 25% of the time
0.25-0.50, 25% of the time
0.50-0.75, 25% of the time
0.75-1.00, 25% of the time
X=2.50
L, Y, Z are independent variables.
I am curious as to how I could calculate the probability of X'>X. Is there a model/equation I can use that can calculate such a thing for me?
Thank you very much everyone!