Probability and Random Experiments Quiz

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Questions and Answers

Which of the following best defines the concept of sample space?

  • The set of all possible sample points in a random experiment
  • The set of all possible events in a random experiment
  • The set of all possible outcomes of a random experiment (correct)
  • The set of all possible probabilities in a random experiment

Which of the following best describes mutually exclusive events?

  • Events that cannot occur at the same time (correct)
  • Events that have the same probability
  • Events that have no relation to each other
  • Events that always occur together

Which approach to probability involves using historical data to determine the likelihood of an event?

  • Classical approach
  • Axiomatic approach
  • Relative frequency approach (correct)
  • Discrete probability approach

Which of the following is a property of probability?

<p>The probability of an event is always between 0 and 1 (B)</p> Signup and view all the answers

What does Bayes' theorem relate?

<p>Conditional probability and prior probability (B)</p> Signup and view all the answers

Which of the following best describes the concept of expectation of a random variable?

<p>The average value of a random variable (D)</p> Signup and view all the answers

Which of the following is a property of independent random variables?

<p>The joint probability of independent random variables is the product of their individual probabilities (A)</p> Signup and view all the answers

Which of the following best defines the concept of moment of a random variable?

<p>The average value of a random variable (A)</p> Signup and view all the answers

Which of the following is a property of the probability generating function (pgf)?

<p>The pgf can be used to find the probability distribution of a random variable (B)</p> Signup and view all the answers

Which type of data is based on categories or labels and cannot be ranked or ordered?

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

Which type of data can be measured and ranked or ordered?

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

Which type of data is collected at a specific point in time?

<p>Cross sectional data (A)</p> Signup and view all the answers

Which type of data can only take on specific values and cannot be divided into smaller units?

<p>Discrete data (D)</p> Signup and view all the answers

Which type of scale allows for the ranking and comparison of data values?

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

Which statistical measure is used to determine the strength and direction of the linear relationship between two variables?

<p>Coefficient of correlation (D)</p> Signup and view all the answers

Which measure of association is used to assess the relationship between two ranked variables?

<p>Spearman's rank correlation coefficient (C)</p> Signup and view all the answers

Which measure of association is used to assess the relationship between two categorical variables?

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

Which statistical technique is used to analyze the relationship between a dependent variable and multiple independent variables?

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

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