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Theory of Probability
What is the definition of probability in statistical theory?
Probability is a numerical measure of the likelihood that an event will occur, expressed as a value between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.
What is a continuous random variable in probability theory?
A variable taking any value within a continuous range
What is a sample space in probability theory?
A sample space is the set of all possible outcomes of a random experiment, denoted by S or Omega, and forms the foundation for calculating probabilities of events.
What is a discrete random variable in probability?
A variable that takes only distinct countable values
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