Random process examples

Tossing the die is an example of a random process; • The number on top is the value of the random variable. 2. Toss two dice and take the sum of the numbers that land up. Tossing the dice is the random process; • The sum is the value of the random variable.

1. What do you mean by random process?
2. What is a discrete random process give an example?
3. What are examples of random variables?

What do you mean by random process?

A random process is a collection of random variables usually indexed by time. The process S(t) mentioned here is an example of a continuous-time random process. In general, when we have a random process X(t) where t can take real values in an interval on the real line, then X(t) is a continuous-time random process.

What is a discrete random process give an example?

1. If both T and S are discrete, the random process is called a discrete random sequence. For example, if Xn represents the outcome of the nth toss of a fair dice, then Xn,n ≥ 1 is a discrete random sequence, since T = 1,2,3,· · · and S = 1,2,3,4,5,6.

What are examples of random variables?

A typical example of a random variable is the outcome of a coin toss. Consider a probability distribution in which the outcomes of a random event are not equally likely to happen. If the random variable Y is the number of heads we get from tossing two coins, then Y could be 0, 1, or 2.