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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**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.
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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