Questions: Is the exact time it takes to evaluate 27+72 a discrete random variable, a continuous random variable, or not a random variable?

Transcript text: b. Is the exact time it takes to evaluate $27+72$ a discrete random variable, a continuous random variable, or not a random variable? A. It is a continuous random variable. B. It is a discrete random variable. C. It is not a random variable

Solution

Solution Steps

To determine whether the exact time it takes to evaluate $27 + 72$ is a discrete random variable, a continuous random variable, or not a random variable, we need to consider the nature of the measurement. The time taken to perform a calculation can vary and can take any value within a range, making it a continuous random variable.

Step 1: Understanding Random Variables

A random variable is a numerical outcome of a random phenomenon. It can be classified as either discrete or continuous. A discrete random variable takes on a countable number of distinct values, while a continuous random variable can take on any value within a given range.

Step 2: Evaluating the Time to Perform the Calculation

The time it takes to evaluate $27 + 72$ can vary based on several factors, such as the method of calculation and the individual's speed. This time is not limited to specific values but can take any value within a range, making it a continuous measurement.

Step 3: Classifying the Random Variable

Since the time taken to perform the calculation can be any real number within a certain interval, it is classified as a continuous random variable.