Question

determine whether the statement is true or false. if it is false, rewrite it as a true statement.

in most applications, continuous random variables represent counted data, while discrete random variables represent measured data.

choose the correct answer below.

a. true
b. false. in most applications, discrete random variables represent counted data, while continuous random variables represent measured data.

Explanation:

Analyze the definitions of random variables

Discrete random variables have outcomes that can be listed or counted (e.g., number of children, number of coin tosses). Continuous random variables have outcomes over an interval that are measured (e.g., height, weight, time).

Evaluate the given statement

The statement says: "In most applications, continuous random variables represent counted data, while discrete random variables represent measured data." This is false because the definitions of continuous and discrete are swapped.

Identify the correct option

Option B correctly identifies the statement as false and provides the correct definitions: "In most applications, discrete random variables represent counted data, while continuous random variables represent measured data."

Answer:

• A. True
• B. False. In most applications, discrete random variables represent counted data, while continuous random variables represent measured data. (Correct answer)