Question Detail

STA 112 Quantifying Uncertainty Objective Question

Question

Events E and F are considered statistically independent if:
Options
A They cannot occur together (EF = Ø).
B The occurrence of one does not affect the probability of the other, meaning P(EF) = P(E)P(F).
Correct Answer
C P(E) + P(F) = 1.
D The probability of E is less than or equal to the probability of F.
Correct Answer

Option B is the correct answer.

Detailed Explanation

Slide 18 defines independence as 'the occurrence of one does not affect the probability of the other. Equivalently: P(EF) = P(E)P(F)'.

Hint

Independence means there's no influence between the events.

Question Info