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