Which one of the following random variables are continuous? Check all that applies.Group of answer choicesThe weight of a hummingbird.The length of a Beatles songThe number of phone calls to an office on any given dayThe number of eggs used at a breakfast place on any given dayThe time it takes to cut a person’s hair
Question
Which one of the following random variables are continuous? Check all that applies.Group of answer choicesThe weight of a hummingbird.The length of a Beatles songThe number of phone calls to an office on any given dayThe number of eggs used at a breakfast place on any given dayThe time it takes to cut a person’s hair
Solution
The continuous random variables from the given options are:
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The weight of a hummingbird: This is a continuous variable because the weight can take on any value within a certain range, not just whole numbers. For example, a hummingbird could weigh 2.3 grams, 2.35 grams, 2.355 grams, etc.
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The length of a Beatles song: This is also a continuous variable. The length of a song is typically measured in minutes and seconds, and there are an infinite number of possible lengths a song could be. For example, a song could be 3 minutes and 45.5 seconds long, 3 minutes and 45.55 seconds long, etc.
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The time it takes to cut a person’s hair: This is a continuous variable as well. The time it takes to cut someone's hair can vary greatly and can be measured in very precise units, such as seconds or even milliseconds.
The other two options, "The number of phone calls to an office on any given day" and "The number of eggs used at a breakfast place on any given day", are discrete variables, not continuous. These are counted in whole numbers (you can't have half a phone call or use half an egg), and there are a finite number of possible values these variables can take on.
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