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 length of time it takes to complete an exam.

Accepted Answer

Hello everyone. Let's take a look at this question together. In a statistics class, let W represent the amount of water in liters a person drinks in one day. Determine whether the random variable W is discrete or continuous. Explain your answer. Is it answer choice A continuous, because the amount can take any real value within a range? Answer choice B discrete, because the variable is based on counting bottles of water. Answer choice C discrete because it is based on a fixed daily amount, or answer choice D discrete because liters of water is measured in whole numbers only. So in order to solve this question, we have to recall what we have learned about the differences between discrete and continuous variables to determine which best represents W, which is the amount of water in liters a person drinks in one day. And so based on the information provided in the question, we know the variable W is the amount of water in liters consumed in a day, and for discrete versus continuous variables, we know that a discrete variable has countable outcomes, like the number of people in a room, whereas a continuous variable can take any value within an interval, like weight, height, or the amount of water consumed. And since water consumption can take any real value within a range, we can identify that our random variable W is a continuous variable, as the amount of water in liters consumed in a day can take any value within an interval, so it is a continuous variable, which makes answer choice A the correct answer, and all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

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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 length of time it takes to complete an exam.

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 length of time it takes to complete an exam.