Probability Theory Basics Quiz
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Questions and Answers

If a random variable can take on an infinite number of values, it is known as a:

  • Probability density function
  • Continuous random variable (correct)
  • Cumulative distribution function
  • Discrete random variable

What does it mean if the probability of an event (P(A)) equals zero?

  • Event A will almost definitely occur
  • There is a strong chance that event A will occur
  • Event A will almost definitely not occur (correct)
  • There is only a small chance that event A will occur

In probability theory, what is the sum of probabilities for all possible outcomes in a statistical experiment equal to?

  • The number of outcomes
  • Zero
  • One (correct)
  • The sample space

What is the probability of choosing a red marble from an urn with 10 marbles (2 red, 3 green, 5 blue) if one marble is randomly selected?

<p>$2/10$ or $0.20$ (B)</p> Signup and view all the answers

How is the probability of an event expressed mathematically?

<p>As a value between 0 and 1 (D)</p> Signup and view all the answers

What is the term used in probability theory to describe a trial repeated multiple times to get a set of outcomes?

<p>Random Experiment (B)</p> Signup and view all the answers

In the context of probability theory, what is a set of outcomes that forms a subset of the sample space called?

<p>Event (B)</p> Signup and view all the answers

Which type of event in probability theory is affected by other events?

<p>Dependent Event (C)</p> Signup and view all the answers

What is the formal concept in probability theory used to describe the likelihood of the occurrence of an event?

<p>Probability Distributions (C)</p> Signup and view all the answers

Which type of events in probability theory cannot take place at the same time?

<p>Mutually Exclusive Events (D)</p> Signup and view all the answers

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