Master the Binomial Distribution
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Questions and Answers

Which distribution describes the probability of getting exactly x successes in n trials of a probability experiment?

  • Poisson distribution
  • Binomial distribution (correct)
  • Normal distribution
  • Negative binomial distribution

What does PMF stand for?

  • Probability Median Function
  • Probability Mass Function (correct)
  • Probability Mean Function
  • Probability Mode Function

When does the binomial distribution become a good approximation of the normal distribution?

  • When the probability of success is large enough
  • When the number of trials is large enough (correct)
  • When the number of successes is large enough
  • When the standard deviation is large enough

Which distribution can be approximated by a binomial distribution with large size n and a small probability p?

<p>Poisson distribution (A)</p> Signup and view all the answers

What does the Poisson distribution describe?

<p>The probability of obtaining x number of occurrences over a certain period of time (D)</p> Signup and view all the answers

What is the mean and standard deviation of a binomial distribution?

<p>Mean = np, Standard deviation = sqrt(npq) (A)</p> Signup and view all the answers

Which distribution adjusts variance independently from the mean?

<p>Negative binomial distribution (C)</p> Signup and view all the answers

Which distribution is a special case of the negative binomial distribution?

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

What is the probability mass function (PMF)?

<p>The probability associated with each discrete outcome (C)</p> Signup and view all the answers

Which distribution describes the probability of obtaining x number of successes in n trials?

<p>Binomial distribution (D)</p> Signup and view all the answers

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