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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