# Understanding of Random Process/Random Variable

At a simpler level to my previous question, I wanted to confirm my understanding on Random Process based on Random Variables using an example.

So, I took this example: If we consider a dice, which has six sides denoted by fi (i can be 1,2,3,4,5,6). So, assigning outcomes f1=10,f2=20,f3=30,f4=40,f5=50,f6=60 thereby constructs a Random Variable X.

Now, if we assign the outcomes: f1=15,f2=25,f3=35,f4=47,f5=80,f6=90 at a different time instant t2 and at time instant t3, we assign the outcomes: f1=43,f2=32,f3=16,f4=89,f5=99,f6=56.

So, if I plot this variation on a Graph, I am getting something like this below: Now does this set of sample functions (Ensemble) constitute a Random Process?

• What does it mean f1=10,f2=20,f3=30,f4=40,f5=50,f6=60? What is f1? What is your "outcome"? Normally outcome is the result of a trial of a probability experiment. May 28 '17 at 9:06
• @AlexTP - I mean f1,f2,...f6 are the six faces of dice and outcome (result of a trial) could be anyone of those faces. Assigning f1,f2.... f6 a corresponding value forms a random variable (I have just assigned (10*i). I wanted to confirm that if this assignment of values changes over time , does this form a Random Process? May 28 '17 at 15:33