Questions: Decide whether the random variable x is discrete or continuous. Explain your reasoning. Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below. A. Continuous, because x is a random variable that cannot be counted. B. Discrete, because x is a random variable that can be counted.

Decide whether the random variable x is discrete or continuous. Explain your reasoning. Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below. A. Continuous, because x is a random variable that cannot be counted. B. Discrete, because x is a random variable that can be counted.
Transcript text: Decide whether the random variable x is discrete or continuous. Explain your reasoning. Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below. A. Continuous, because x is a random variable that cannot be counted. B. Discrete, because $x$ is a random variable that can be counted.
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Solution

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Solution Steps

Step 1: Identify the Nature of the Quantity

The nature of the quantity being measured, amount of rainfall, suggests that the variable is measurable.

Step 2: Assess the Measurement Process

The measurement unit, inches, indicates that the variable is measured in a way that is continuous.

Step 3: Consider the Context

The specific context or domain, measuring precipitation, implies a continuous measurement.

Final Answer:

Based on the provided information, the random variable x is ^continuous^.

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