Probability Theory and Contingency Tables
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Questions and Answers

What is the probability associated with outcome A for event F?

  • 19
  • 9
  • 14
  • 5 (correct)

What is the total probability for outcome C across all events?

  • 5
  • 19
  • 4
  • 9 (correct)

Which event has the lowest probability for outcome B?

  • F
  • G (correct)
  • Total
  • None of the Above

What is the combined total probability for events F and G across all outcomes?

<p>30 (A)</p> Signup and view all the answers

What is the probability for outcome D in event G?

<p>12 (A)</p> Signup and view all the answers

What does the Total column represent in the contingency table?

<p>The total count of events per category (D)</p> Signup and view all the answers

Which row likely represents data categorized by a specific condition in the table?

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

What do columns A to G in the contingency table represent?

<p>Different class scenarios or outcomes (B)</p> Signup and view all the answers

What is indicated by the summation at the bottom of the table?

<p>The total count for each category (A)</p> Signup and view all the answers

Which row contains a total of 91, representing the overall number of events?

<p>Total row (D)</p> Signup and view all the answers

Flashcards

Contingency Table

A table summarizing the frequency of occurrences of different combinations of two variables. Rows represent one variable, columns represent the other, and cells contain the counts for each combination.

Category

A group of outcomes in a contingency table that share a common characteristic. Typically represented as a row or column in the table.

Frequency

The entries in a contingency table, representing the number of times a specific combination of categories occurred.

Marginal Total

A sum of frequencies for a specific category across all other categories. Represented as a row total or a column total.

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Grand Total

The total number of observations or events in a contingency table. Reflected in the overall sum of all frequencies.

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Probability Table

A table that represents the probabilities of different events occurring. In this context, it shows the likelihood of events 'A', 'B', 'C', and 'D' happening in relation to events 'F', 'G', and the total probability.

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Total Probability

The sum of probabilities for each event ('A', 'B', 'C', and 'D') across all possible scenarios ('F' and 'G').

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P(A and F)

The joint probability of event 'A' happening with event 'F'. It is represented by the number '5' in the table.

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Probability of Event A

The probability of event 'A' occurring, regardless of the outcome of event 'F' or 'G'. It is calculated by considering all possible combinations of event 'A' with 'F' and 'G'.

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Conditional Probability: P(F|B)

The probability of event 'F' occurring given that event 'B' has already occurred.

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