Probability equation X > number

Long time lurker, first time poster! All help much appreciated!

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:

0.3-1 (90% of the time),
0.5-1 (60% of the time),
0.9-1 (10% of the time)

Y= 0 or 1 (Y=1, 1% of the time and Y=0, 99% of the time)

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


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!
Last edited:


Ambassador to the humans
Well do you know the distribution for L, Y, and Z for the other values they can take on? Otherwise its going to be really hard to do much of anything.