Question
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What is a random variable?
Choose the correct answer below.
A. A random variable is a numerical measure, having values that can be plotted on a line in an uninterrupted fashion, of the outcome of a probability experiment.
C. A random variable is a numerical measure of the outcome of a probability experiment.

Ask by Gardner Paul. in the United States
Mar 14,2025

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Tutor-Verified Answer

Answer

A random variable is a numerical measure of the outcome of a probability experiment.

Solution

The correct answer is:
C. A random variable is a numerical measure of the outcome of a probability experiment.
Explanation:
  • A random variable is a function that assigns a numerical value to each outcome in a sample space of a probability experiment. It can take on different values based on the outcomes of the experiment, but it does not necessarily have to be continuous or plotted on a line in an uninterrupted fashion.

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A random variable is indeed a numerical measure that arises from a probability experiment, but it can be classified as either discrete or continuous. For example, when rolling a die, the outcome (1 through 6) is a discrete random variable. In contrast, if we measure the time someone takes to run a race, that’s a continuous random variable since it can take any value within a range!
Random variables play a pivotal role in statistics and data analysis, allowing us to quantify uncertainty and make predictions. They are foundational for calculating probabilities and creating probability distributions, which help us understand the likelihood of various outcomes. So next time you flip a coin or pull a card, remember, you’re dealing with random variables in action!

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