Exam 1

1. Metainformation

   Tag	Value
   file	Probability_uva-independent-events-310-en_uva-independent-events-310-en
   name	uva-independent-events-310-en
   section	Probability/Elementary Probability/General Rules/Independent events
   type	schoice
   solution	FALSE, FALSE, TRUE, FALSE
   Type	Conceptual
   Language	English
   Level	Statistical Literacy
   IRT-Difficulty	3
   p-value	0.311

   Question

   Of two events A and B, the following is given: P(A) = 0.60, P(B) = 0.40, P(A ∩ B) = 0.20 and P(A ∪ B) = 0.80. Are events A and B independent?

   
   
   1. FALSE: Yes, because P(A ∪ B)= P(A) + P(B) - P(A ∩ B)
   2. FALSE: Yes, because P(B | A) = P(B)
   3. TRUE: No, because P(A ∩ B) ≠ P(A) x P(B)
   4. FALSE: No, because P(A ∪ B) ≠ P(A) + P(B)
   
   
   1. Yes, because P(A ∪ B)= P(A) + P(B) - P(A ∩ B): Incorrect
   2. Yes, because P(B | A) = P(B): Incorrect
   3. No, because P(A ∩ B) ≠ P(A) x P(B): Correct
   4. No, because P(A ∪ B) ≠ P(A) + P(B): Incorrect