Graphical Analysis In Exercises 9–12, determine whether the gr...

Question

Graphical Analysis In Exercises 9–12, determine whether the graph on the number line represents a discrete random variable or a continuous random variable. Explain your reasoning.

The distance a baseball travels after being hit

Number line showing distances in feet, marked from 0 to 600, with points indicating specific distances.

Accepted Answer

Hello, everyone, let's take a look at this question together. The graph shows the weights in kilograms of different fish caught during a fishing competition. Is the variable in the graph discrete or continuous? Explain your reasoning. And here we have our graph showing the weight in kilograms of the different fish caught during the fishing competition on the Y axis and the fish number on the X axis. And we have to determine is it answer choice A, it is a discrete random variable because each fish is unique. Answer choice B, it is a continuous random variable because the number of fish caught can only be measured in whole numbers. Answer choice C, it is a discrete random variable because weight is counted in specific intervals, or answer choice D, it is a continuous random variable because weight can take on any value within a given range, including decimals. So, in order to solve this question, we have to recall what we have learned about the differences between discrete random variables or continuous random variables to determine which type of variable is represented in the graph showing the weights in kilograms of the different fish caught during a fishing competition, and using the information provided in the graph, the first step in solving this problem is to identify. The variable, which we know is the weight of the fish that are caught, measured in kilograms, of which we know that weight can be any value within a certain range, such as, let's say, 1.2 kg, or 2.8 kg, or even 2.99 kg, and so on. So then we have to recall what we have learned about the differences between discrete random variables and continuous random variables. which we know a discrete random variable includes values that can be counted, such as the number of fish being 012, and so on, whereas a continuous random variable can take any value within a range, including fractions or decimals. And since we know that weight is measured and can have many possible values, Since it is not limited to whole numbers, we know the variable, which is the weight of the fish, is a continuous random variable, as weight can take on any value within a range, including decimal values. Therefore, looking at our answer choices, we can identify that answer choice D is the correct answer. As we know that the weights in kilograms of the different fish is a continuous random variable because weight can take on any value within a given range, including decimals. So answer choice D is 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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Graphical Analysis In Exercises 9–12, determine whether the graph on the number line represents a discrete random variable or a continuous random variable. Explain your reasoning.

The distance a baseball travels after being hit

Key Concepts

Discrete Random Variable

Continuous Random Variable

Graphical Representation

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Graphical Analysis In Exercises 9–12, determine whether the graph on the number line represents a discrete random variable or a continuous random variable. Explain your reasoning.The distance a baseball travels after being hit