Question

which of the following is a discrete random variable

Answer 1

Random Variables are of Two types:

-->A random variable x, and its distribution, can be discrete or continuous.

* Discrete Random Variable:

--> A discrete random variable has a countable number of possible values.

--> The probability of each value of a discrete random variable is between 0 and 1, and the sum of all the probabilities is equal to 1.

--> Discrete random variable obtained by counting values for which there are no in-between values, such as the integers 0, 1, 2,.........

--> Discrete random variables can take on either a finite or at most a countably infinite set of discrete values.

--> The sum of the probabilities must be 1.

i.e. p1 + p2 + p3 + ... + pk = 1

* Examples:

--> Example of Discrete Random Variable include values obtained from rolling a die.

--> Another example is Tossing of a coin n times selecting heads or tails as a chosen one.