Question

Use the following information to answer the next six exercises: On average, a clothing store gets $120$customers per day.

Assume the event occurs independently in any given day. Define the random variable $X$.

Short answer

The random variable $\mathrm{X}$is defined as:

$X=$Number of customers arriving at the clothing store per day.

Step-by-step solution

Concept used

The outcome of interest in a random experiment is represented by a variable known as a random variable. It is denoted by upper case alphabets such as $\mathrm{X}$, $\mathrm{Y}$, etc.

Given

An experiment that consists of observing the arrival of consumers at the haberdashery store per day. The result of interest is that the number of shoppers that arriveday by day.

Explanation of Solution

Therefore, the random variable in this case can be defined as:

$X=$Number of customers arriving at the clothing store per day.

Since $X$can take only a finite number of values, it is a discrete random variable.