Binomial Distribution and Bernoulli Trials
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Questions and Answers

What is the binomial distribution used to model?

  • The number of independent experiments in a sequence of successes
  • The number of successes in a sequence of independent experiments (correct)
  • The probability of success in a single experiment
  • The number of failures in a sequence of independent experiments

What is a Bernoulli trial?

  • A success/failure experiment in a binomial distribution (correct)
  • A sequence of independent experiments in a binomial distribution
  • A sequence of outcomes in a binomial process
  • A probability distribution with parameters n and p

When does the binomial distribution become a good approximation for the hypergeometric distribution?

  • When the sample size n is much smaller than the population size N
  • When the sample size n is much larger than the population size N (correct)
  • When the draws are not independent and without replacement
  • When the draws are independent and with replacement

What does the symbol B(n, p) represent in the context of the binomial distribution?

<p>The probability mass function of the binomial distribution (C)</p> Signup and view all the answers

What is the basis for the popular binomial test of statistical significance?

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

Which term is used to denote the tendency of quantitative data to cluster around some central value?

<p>Middle tendency (D)</p> Signup and view all the answers

What is the arithmetic mean?

<p>The sum of all measurements divided by the number of observations in the data set (C)</p> Signup and view all the answers

What is typically contrasted with the central tendency of a distribution?

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

Which measure represents the middle value that separates the higher half from the lower half of the data set?

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

In statistics, what are measures of central tendency often called colloquially?

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

Which measure of central tendency is most affected by extreme values in a data set?

<p>Arithmetic mean (D)</p> Signup and view all the answers

What term is often used to denote the most frequent value in a data set?

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

In which type of distribution would the median be equal to the mean?

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

What is the geometric mean typically used for in statistics?

<p>Calculating average growth rates (D)</p> Signup and view all the answers

When might it be more appropriate to use the median as a measure of central tendency instead of the mean?

<p>When the data set contains outliers (D)</p> Signup and view all the answers

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