Question Detail

STA 112 Quantifying Uncertainty Objective Question
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Question

The Law of Total Probability (Slide 22) states that the total probability of an event E is the:
Options
A Sum of the probabilities of E and F.
B Product of the conditional probabilities P(E|F<sub>i</sub>).
C Weighted average of its conditional probabilities, weighted by the probabilities of the 'causes' F<sub>i</sub>.
Correct Answer
D Difference between P(E) and P(F).
Correct Answer

Option C is the correct answer.

Detailed Explanation

Slide 22 states: 'This says: the total probability of E is the weighted average of its conditional probabilities, weighted by the probabilities of the "causes" Fi.'

Hint

The formula involves a sum of products, where each term represents a 'path' to event E.

Question Info

Course: STA 112
Topic: Quantifying Uncertainty
Type: Objective
Difficulty: Not specified
Question 14 of 112
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