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:

L=

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)

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!

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=

0.3-1 (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)

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!

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