Howtosignalprocessing
- What is an independent random variable?
- What do you mean by independent random variables give example?
- How do you identify an independent random variable?
- What is the best definition of a random variable?
What is an independent random variable?
Two random variables are independent if they convey no information about each other and, as a consequence, receiving information about one of the two does not change our assessment of the probability distribution of the other.
What do you mean by independent random variables give example?
Intuitively, two random variables X and Y are independent if knowing the value of one of them does not change the probabilities for the other one. In other words, if X and Y are independent, we can write P(Y=y|X=x)=P(Y=y), for all x,y.
How do you identify an independent random variable?
Independence of Random Variables
Mathematically, two discrete random variables are said to be independent if: P(X=x, Y=y) = P(X=x) P(Y=y), for all x,y. Intuitively, for independent random variables knowing the value of one of them, does not change the probabilities of the other.
What is the best definition of a random variable?
A random variable is a variable whose value is unknown or a function that assigns values to each of an experiment's outcomes.
