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The weight of a person in a state is a Continuous Random VariableDiscrete Random Variable

Question

The weight of a person in a state is a

  • Continuous Random Variable
  • Discrete Random Variable
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Solution

In statistics, a random variable can be classified into two main categories: continuous and discrete random variables.

  1. Continuous Random Variable: This type of variable can take on an infinite number of values within a given range. Examples include measurements such as height, weight, and temperature. The weight of a person is considered a continuous random variable because it can vary smoothly and can be measured with varying degrees of precision (e.g., 70 kg, 70.5 kg, 70.55 kg, etc.).

  2. Discrete Random Variable: In contrast, a discrete random variable can take only specific, distinct values, such as the number of students in a classroom (which can only be a whole number).

Given the nature of weight being measurable and capable of taking on an infinite number of values within a range, the weight of a person is classified as a Continuous Random Variable. This reflects the continuous nature of the physical property being measured, rather than a countable outcome.

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