Questions: 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.
Transcript text: 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.
Solution
Solution Steps
Step 1: Identify the Statement
The given statement is: "In most applications, continuous random variables represent counted data, while discrete random variables represent measured data.".
Step 2: Evaluate the Statement
Continuous random variables are typically used to represent data that can take any value within a given range (measured data), such as height, weight, or temperature. Discrete random variables are used to represent data that can only take specific, separate values (counted data), such as the number of students in a class, the number of cars in a parking lot, etc.
Step 3: Determine Truth Value
The statement does not correctly represent the general use of continuous and discrete random variables in most applications. Therefore, it is false.
Step 4: Provide Correct Statement if False
The correct statement is: "In most applications, discrete random variables represent counted data, while continuous random variables represent measured data.".
Final Answer:
The given statement was false. The corrected statement is: "In most applications, discrete random variables represent counted data, while continuous random variables represent measured data.".