Question Detail

STA 112 Quantifying Uncertainty Objective Question

Question

Which of the following conditions is equivalent to events E and F being statistically independent, assuming P(F) > 0?
Options
A P(E|F) = P(F)
B P(F|E) = P(E)
C P(E|F) = P(E)
Correct Answer
D P(E∪F) = P(E) + P(F)
Correct Answer

Option C is the correct answer.

Detailed Explanation

Slide 18 states that if P(F) > 0, then independence P(EF) = P(E)P(F) is equivalent to P(E|F) = P(E). This means the probability of E is not affected by the occurrence of F.

Hint

Statistical independence implies that knowing one event occurred does not change the probability of the other event.

Question Info