# We can work on Differentiating a discrete from a continuous random variable

How would you differentiate a discrete from a continuous random variable? Provide a specific example to illustrate the difference.

Provide a scenario when you use might use one type of random sampling method in your industry. Explain why you would choose this method in this scenario, even if another random sampling method could be used?

here is how I would differentiate a discrete from a continuous random variable:

• Discrete random variablesÂ can only take on a finite or countable number of values. For example, the number of heads you get when you flip a coin is a discrete random variable, because it can only be 0, 1, or 2.
• Continuous random variablesÂ can take on any value within a certain range. For example, the height of a person is a continuous random variable, because it can be any value between the minimum and maximum height of a human.

Here is a specific example to illustrate the difference:

• Discrete random variable:Â The number of cars that pass by a certain point on a highway in a minute. This is a discrete random variable because it can only take on a finite number of values, such as 0, 1, 2, 3, etc.
• Continuous random variable:Â The amount of time it takes for a customer to checkout at a grocery store. This is a continuous random variable because it can take on any value within a certain range, such as 1 minute, 2 minutes, 3 minutes, etc.

Here is a scenario when I might use one type of random sampling method in my industry:

• Industry:Â I work as a data scientist for a company that sells shoes.
• Scenario:Â I want to estimate the average height of my company’s customers.
• Random sampling method:Â I would use a simple random sample. This is a method of sampling where every member of the population has an equal chance of being selected.
• Reason for choosing this method:Â I would choose this method because it is a simple and unbiased way to select a sample. It is also easy to implement and does not require any special equipment.

I would choose this method even if another random sampling method could be used, such as a stratified random sample or a systematic random sample. This is because I believe that a simple random sample is the most unbiased way to select a sample.