5. Binomial Distribution & Discrete Random Variables
Discrete Random Variables
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A student is analyzing different types of variables in a statistics class. Which of the following below is a discrete random variable?
A
The time it takes for a randomly selected runner to complete a 5k race
B
The weight of a randomly chosen bag of apples from a grocery store
C
The number of defective lightbulbs from a randomly chosen batch in a factory
D
The number of days in a random month
Verified step by step guidance1
Understand the definition of a discrete random variable: A discrete random variable is one that can take on a countable number of distinct values. These values are often whole numbers.
Analyze the options given: Consider each option and determine if the variable can take on a countable number of distinct values.
Option 1: 'The time it takes for a randomly selected runner to complete a 5k race' - Time is a continuous variable because it can take on any value within a range.
Option 2: 'The weight of a randomly chosen bag of apples from a grocery store' - Weight is also a continuous variable as it can take any value within a range.
Option 3: 'The number of defective lightbulbs from a randomly chosen batch in a factory' - This is a discrete random variable because the number of defective lightbulbs can be counted and is a whole number.
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