A random variable can be _____________?
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Answer: D. discrete or continuous
Explanation
Random variables are classified comprehensively as either discrete or continuous depending on their range. Discrete variables take countable values while continuous variables span unbroken intervals. Every random variable falls into one of these two fundamental mathematical categories. Probability mass functions describe discrete random variables while probability densities apply to continuous ones. Counting distinct items yields discrete variables whereas measuring physical quantities yields continuous ones. Statistical modeling techniques depend heavily on knowing whether a variable is discrete or continuous.
Counting daily customer arrivals requires a discrete random variable probability model. Measuring exact ambient temperature requires continuous random variable probability distributions. Data scientists verify variable types before selecting appropriate machine learning algorithms. Fixed implies static non-random behavior which contradicts the definition of a random variable. Continuous ignores discrete countable variables like counts and integer frequencies. Discrete overlooks continuous measurements like time, weight, and distance.
- Subject
- Mathematics
- Category
- Statistics
- Topic
- —
- Difficulty
- medium
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