Problem

Decide whether the random variable $\mathrm{x}$ is discrete or continuous. Explain your reasoning Let $\mathrm{x}$ represent the temperature of a person taken with a mercury thermometer. Is the random variable $\mathrm{x}$ discrete or continuous? Choose the correct answer below. A. Discrete, because $\mathrm{x}$ is a random variable that can be counted. B. Continuous, because $\mathrm{x}$ is a random variable that cannot be counted.

Solution

Step 1 :Decide whether the random variable x is discrete or continuous.

Step 2 :Let x represent the temperature of a person taken with a mercury thermometer.

Step 3 :Is the random variable x discrete or continuous? Choose the correct answer below.

Step 4 :A. Discrete, because x is a random variable that can be counted.

Step 5 :B. Continuous, because x is a random variable that cannot be counted.

Step 6 :The random variable x in this case represents the temperature of a person taken with a mercury thermometer.

Step 7 :Temperature is a continuous variable because it can take on any value within a certain range.

Step 8 :It is not countable because there are infinite possible values it can take on, even within a small range.

Step 9 :Therefore, the random variable x is continuous.

Step 10 :Final Answer: \(\boxed{\text{B. Continuous, because x is a random variable that cannot be counted.}}\)

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Source: https://solvelyapp.com/problems/17715/

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