Question

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

What values does $X$take on?

Short answer

The random variable $\mathrm{X}$can take valueslocalid="1649709996909" $\mathrm{x}=0,1,2,\dots$

Step-by-step solution

Given

On an average 120 customers arrive at the store per day.

Explanation of Solution

An experiment that consists of observing the arrival of consumers at the store per day. the result of interest is that the number of consumers that arrive daily.
The variable quantity$X$ for the given experiment is defined because the number of consumers arriving per day at the haberdashery store. it should happen that no customer arrives at the shop on a selected day. during this case, role="math" localid="1648143776639" $\mathrm{X}$ takes value 0 , which is that the minimum value that $X$can take. there's no maximum value for $X$as any number of shoppers can reach the shop on a given day.
Since, $X$ may be a discretechance variable, it can take only positive integer values $0,1,2,\dots$