Which of the following is/are discrete random variables?Number of tires produced in an automotive tire factory every 30 minutes.The number of kernels(pieces) of popcorn in a 1𝑘𝑔1kg container.The time between customers entering a checkout lane at a retail store.The amount of rain recorded at an airport one day.The amount of liquid in a 2𝑙𝑖𝑡𝑟𝑒𝑠2litres bottle of soft drink.The number of no-shows for every 10001000 reservations made with a commercial airline.
Question
Which of the following is/are discrete random variables?Number of tires produced in an automotive tire factory every 30 minutes.The number of kernels(pieces) of popcorn in a 1𝑘𝑔1kg container.The time between customers entering a checkout lane at a retail store.The amount of rain recorded at an airport one day.The amount of liquid in a 2𝑙𝑖𝑡𝑟𝑒𝑠2litres bottle of soft drink.The number of no-shows for every 10001000 reservations made with a commercial airline.
Solution
The discrete random variables from the list are:
- Number of tires produced in an automotive tire factory every 30 minutes.
- The number of kernels(pieces) of popcorn in a 1kg container.
- The number of no-shows for every 1000 reservations made with a commercial airline.
These are considered discrete random variables because they can only take on a countable number of values. For example, the number of tires produced in a factory every 30 minutes could be 0, 1, 2, 3, etc., but it could not be 1.5 or 2.7. The same logic applies to the number of popcorn kernels in a 1kg container and the number of no-shows for every 1000 reservations.
On the other hand, the time between customers entering a checkout lane at a retail store, the amount of rain recorded at an airport one day, and the amount of liquid in a 2 litres bottle of soft drink are continuous random variables because they can take on any value within a certain range. For example, the time between customers could be 2.5 minutes, 3.7 minutes, etc., and the amount of rain could be 1.2 inches, 1.3 inches, etc.
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