Discrete Variables and Continuous Variables In Exercises 13–18...

Question

Discrete Variables and Continuous Variables In Exercises 13–18, determine whether the random variable x is discrete or continuous. Explain.

Let x represent the populations of the 50 U.S. states.

Accepted Answer

Welcome back, everyone. Let Y represent the number of daily visitors to a local aquarium. Determine whether the random variable Y is discrete or continuous. Provide an explanation. A continuous because the number of visitors is always changing. B discreet because the number of visitors can only be whole numbers. C discrete because the number of visitors is always changing. And D continuous because visitors vary throughout the day. So let's recall the difference between continuous and discrete random variables. So whenever we consider discrete random variables, let's call them the, those would be random variables that can take on specific countable values. We can say countable. And to visualize, we can just say those will be whole numbers. For example, 0123 and so on. Now for continuous random variables. They can take on any value within an interval. Any value. With them An interval. To visualize more Simply, we can say those would also include decimals, right? So for this problem, we have daily visitors. Now, can daily visitors be measured by any value within an interval? Can we have a Number of visitors that is expressed in its decimal form. Well, the answer is no, because visitors are measured as countable numbers or whole numbers, right? We can have 0 visitors, 1 visitor, 2 visitors, and so on, meaning first of all, we can say that this would be a discrete variable and we can immediately cross out options A and D because they are incorrect. They say continuous. And between B and C, be as discreet because the number of visitors can only be whole numbers. This is exactly the correct explanation. And she says this great because the number of visitors is always changing. So this is not a correct explanation, meaning the only correct option corresponds to the answer choice B. Thank you for watching.

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Discrete Variables and Continuous Variables In Exercises 13–18, determine whether the random variable x is discrete or continuous. Explain.

Let x represent the populations of the 50 U.S. states.

Key Concepts

Discrete Variables

Continuous Variables

Random Variables

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Discrete Variables and Continuous Variables In Exercises 13–18, determine whether the random variable x is discrete or continuous. Explain.Let x represent the populations of the 50 U.S. states.