Conditional Probability Quiz
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Questions and Answers

If the function j(t) = 1/9 * t is defined as the average value of a function U(t) from t = 0 to t = 9, then U(t) = __________

(t -1)

What is the value of j(9)?

  • 10
  • 7
  • 1 (correct)
  • 8
  • Flashcards

    P(A)

    The probability of event A occurring.

    P(B)

    The probability of event B occurring.

    Sample Space (S)

    The set of all possible outcomes of a random experiment.

    Union of Events (A∪B)

    The event that either A or B (or both) occurs.

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    Probability Sum Rule

    P(A∪B) = P(A) + P(B) - P(A∩B).

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    P(A∩B)

    The probability that both A and B occur.

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    Calculating P(A∪B) without P(A∩B)

    If P(A∩B) is not known, P(A∪B) can't be precisely calculated.

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    Possible answers for P(A∪B)

    The provided options for the union's probability: 0.75, 0.7, 0.65, 0.60.

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    Probability Value Range

    Probabilities range from 0 to 1.

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    Random Experiment

    A process that leads to one of several possible outcomes.

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    Study Notes

    Conditional Probability

    • Events A and B are from a sample space for a random experiment
    • Given P(A) = 0.45, P(-2) = 0.2
    • Calculate P(A∪B) or P(A or B)
    • Possible answers:
      • 0.75
      • 0.6
      • 0.65
      • 0.00 (This one is provided as an answer option as well.)

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    Description

    Test your knowledge of conditional probability with this quiz. You'll calculate P(A∪B) given specific probabilities for events A and B. Choose the correct answer from the provided options.

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