Question Detail

STA 112 Quantifying Uncertainty Objective Question

Question

When are two events E and F considered Statistically Independent?
Options
A If their intersection is empty (EF = Ø).
B If the occurrence of one affects the probability of the other.
C If P(EF) = P(E)P(F).
Correct Answer
D If P(E) = 1 - P(F).
Correct Answer

Option C is the correct answer.

Detailed Explanation

Slide 18 defines Statistical Independence: 'Events E and F are independent if the occurrence of one does not affect the probability of the other. Equivalently: P(EF) = P(E)P(F)'.

Hint

The definition of independence relates to how the joint probability of two events can be calculated from their individual probabilities.

Question Info