What is the difference between a discrete and a continuous probability distribution?

  • Discrete distributions are always normal; continuous distributions are always uniform
  • Discrete distributions are for qualitative data; continuous distributions are for quantitative data
  • Discrete distributions involve countable outcomes; continuous distributions involve uncountable outcomes
  • There is no difference
Discrete probability distributions are used when the outcomes are countable or discrete. Examples include the number of heads when flipping coins or the number of defective items in a batch. Continuous probability distributions are used when outcomes are uncountably infinite, typically involving measurements. Examples include the height of individuals or the time it takes to run a mile.
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