Question

Example of infinite population
A. The stars in the sky and the car in a town
B. The stars in the sky and the books in a library
C. The car in a town and the books in a library
D. Output from a machine and births of insect

Answer 1

Generally, in statistics, the population refers to a set of similar items or events from where we conclude. The population is classified into different types. Some of them are as follows.
Finite population
Infinite population
Existent population
Hypothetical population
Here we are given some examples. We need to pick the option which satisfies the infinite population.

Complete step-by-step answer:
For example, consider the population of employees of a company. We are able to count the number of employees. If we can count, then the given population is finite. If we cannot count the population, then the given population is infinite. The infinite population is also called an uncountable population.

A) The given examples are the stars in the sky and the cars in a town.
We cannot count the stars in the sky but we can count the number of cars in a particular town.
Both the examples must satisfy the condition of the infinite population (i.e. not able to count the population).
So, the given examples cannot be an infinite population.

B) The given examples are the stars in the sky and the books in a library.
We cannot count the stars in the sky but we can count the number of books in a particular library.
Both the examples must satisfy the condition of infinite population
So, the given examples cannot be an infinite population.

C) The given examples are the cars in a town and the books in a library.
We are able to count the cars in a town and the books in a library.
Both the examples must satisfy the condition of infinite population
So, the given examples cannot be an infinite population.

D) The given examples are output from a machine and births of insects.
We cannot count the output from a machine and the births of insects.
Here, both the examples satisfied the condition of infinite population
So, the given examples are infinite populations.

So, the correct answer is “Option D”.

Note: The word sample refers to a set of objects which are collected from the population and a sample should be randomly selected and representative of the population. Also, the size of the sample is always less than the size of the population.
If we cannot count the given population, then we can say that the population is infinite.