Question Detail

STA 112 Quantifying Uncertainty Objective Question

Question

Which statement correctly describes statistically independent events E and F?
Options
A E and F cannot occur together.
B The occurrence of one affects the probability of the other.
C P(EF) = P(E)P(F).
Correct Answer
D If P(F) > 0, then P(E|F) = 0.
Correct Answer

Option C is the correct answer.

Detailed Explanation

Slide 18 defines Statistical Independence by the condition P(EF) = P(E)P(F). It also states that if P(F) > 0, this is equivalent to P(E|F) = P(E).

Hint

Independence means that knowing one event happened tells you nothing about the other.

Question Info