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In: Statistics and Probability

48. {Exercise 4.31 (Algorithmic)} Assume that we have two events, A and B, that are mutually...

48.

{Exercise 4.31 (Algorithmic)}

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.7 and P(B) = 0.3.

If an amount is zero, enter "0".

  1. What is P(A  B)?

  2. What is P(A | B)?

  3. Is P(A | B) equal to P(A)?
    - Select your answer -YesNoItem 3

    Are events A and B dependent or independent?
    - Select your answer -Events A and B are dependentEvents A and B are independentEvents A and B could be either dependent or independentItem 4
  4. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?
    - Select your answer -YesNoItem 5
  5. What general conclusion would you make about mutually exclusive and independent events given the results of this problem?
    - Select your answer -Mutually exclusive events are dependentMutually exclusive events are independentMutually exclusive events are either dependent or independent

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