Example 1: A coin is flipped. Random variable X takes the value 1 if the coin lands heads, and X takes the value 0 if the coin shows tails. Example 2: Three balls are drawn without replacement from a ...

In many situations, it is desirable to assign a numerical value to each outcome of a random experiment. Such an assignment is called a **random variable.** Mathematically, a random variable is a ...

Roll a die and ask students to identify the random variable. Since a die can only take on values of 1, 2, 3, 4, 5, or 6, this is a discrete random variable. Repeat ...

- A discrete random variable defined as function that maps the sample space to set of real values - Random variables can take values that are not in the sample space too but they will be mapped to the ...

A random variable that can take only a certain specified set of individual possible values-for example, the positive integers 1, 2, 3, . . . For example, stock prices are discrete random variables, ...

Apply arithmetic mean of frequency distribution to find the expected value of a random variable The expected value of discrete random variable as summation of product of discrete random variable by ...

Abstract: This article proposes an approximated Bayesian entropy estimator for a discrete random variable. An entropy estimator that achieves least square error is ...

Abstract: In this work, we propose a novel procedure for deriving a discrete counterpart to a continuous probability distribution. This procedure or, better, this class of procedures, is based on an ...