Questions: Is the number of bald eagles in a country a discrete random variable, a continuous random variable, or not a random variable?
A. It is a discrete random variable
B. It is a continuous random variable
C. It is not a random variable
Transcript text: Is the number of bald eagles in a country a discrete random variable, a continuous random variable, or not a random variable?
A. It is a discrete random variable
B. It is a continuous random variable
C. It is not a random variable
Solution
Solution Steps
To determine whether the number of bald eagles in a country is a discrete random variable, a continuous random variable, or not a random variable, consider the nature of the data. A discrete random variable is one that can take on a countable number of distinct values, such as the number of bald eagles, which can be counted as whole numbers. A continuous random variable, on the other hand, can take on an infinite number of values within a given range, such as height or weight. Since the number of bald eagles can be counted, it is a discrete random variable.
Step 1: Understanding Random Variables
A random variable is a numerical outcome of a random phenomenon. It can be classified into two types: discrete and continuous. A discrete random variable can take on a countable number of distinct values, while a continuous random variable can take on an infinite number of values within a range.
Step 2: Analyzing the Number of Bald Eagles
The number of bald eagles in a country can be counted as whole numbers (e.g., 0, 1, 2, ...). This means that the possible values are distinct and countable, which fits the definition of a discrete random variable.
Step 3: Conclusion
Since the number of bald eagles can only take on whole number values, it is classified as a discrete random variable.