0.1 C A 0.7 D C B 0.6 D Outcome P(A n C) P(A n D) = P(B n C) II
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question

Transcribed Image Text:**Supply the Missing Quantities**
The diagram presented is a probability tree, which assists in calculating the probabilities of combined events. It consists of nodes and branches representing events and their likelihoods.
**Diagram Explanation:**
1. **First Level Nodes:**
- Node A: Leading to events C and D.
- Node B: Leading to events C and D.
2. **Probabilities:**
- Probability from the starting point to node A is `0.7`.
- Probability from the starting point to node B is `0.6`.
- Probability from node A to event C is `0.1`.
- The probabilities for node A to event D and node B to events C and D are missing.
**Outcome Box:**
The outcomes listed here require the calculation of joint probabilities of combined events:
- \( P(A \cap C) \)
- \( P(A \cap D) \)
- \( P(B \cap C) \)
- \( P(B \cap D) \)
**Tasks:**
- Fill in the missing probabilities on the branches.
- Calculate and input the joint probabilities for each outcome based on the given and missing branch probabilities.
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