Multiple Choice
Which of the following is a criterion for a binomial probability experiment?
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5. Binomial Distribution & Discrete Random Variables
Discrete Random Variables
Multiple Choice
Which of the following is an example of a discrete variable?
A
The height of a tree measured in
B
The time taken to run a marathon
C
The amount of rainfall in a day
D
The number of students in a classroom
Verified step by step guidance1
Understand the difference between discrete and continuous variables: A discrete variable is one that can take on only specific, separate values (often counts), while a continuous variable can take on any value within a range.
Analyze each option to determine if it represents countable values (discrete) or measurable values (continuous):
The height of a tree measured in meters is continuous because height can be any value within a range, including decimals.
The time taken to run a marathon is continuous because time can be measured with great precision and can take any value within an interval.
The amount of rainfall in a day is continuous because rainfall can be measured in fractions of units (like millimeters) and can take any value within a range.
The number of students in a classroom is discrete because students are counted in whole numbers and cannot be fractional.
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