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A 0.5 0.6 D 0.1 C B D Outcome P(A n C) P(A n D) = P(B n C) = P(B n D)

A 0.5 0.6 D 0.1 C B D Outcome P(A n C) P(A n D) = P(B n C) = P(B n D)

MATLAB: An Introduction with Applications
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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**Title: Calculating Probabilities in a Tree Diagram** **Supply the missing quantities.** **Diagram Explanation:** The diagram is a tree structure used to calculate probabilities. It includes two starting points, A and B, with associated probabilities and branching paths leading to two possible outcomes: C and D. - **From Node A:** - Probability to C: 0.5 - Probability to D: 0.6 - **From Node B:** - Probability to C: 0.1 - Probability to D: (not explicitly given, requires calculation) **Outcome Probabilities to Calculate:** - \( P(A \cap C) = \) (missing value, marked incorrect) - \( P(A \cap D) = \) (missing value) - \( P(B \cap C) = \) (missing value) - \( P(B \cap D) = \) (missing value) **Instructions:** Use the tree diagram to determine the joint probabilities for each outcome. Calculate the probabilities by multiplying the branches leading to the outcomes. **Example Calculation:** - For \( P(A \cap C) \), multiply the probability from A to the starting point with the probability from A to C. Complete the calculations for all outlined outcomes for an accurate understanding.
Transcribed Image Text:**Title: Calculating Probabilities in a Tree Diagram** **Supply the missing quantities.** **Diagram Explanation:** The diagram is a tree structure used to calculate probabilities. It includes two starting points, A and B, with associated probabilities and branching paths leading to two possible outcomes: C and D. - **From Node A:** - Probability to C: 0.5 - Probability to D: 0.6 - **From Node B:** - Probability to C: 0.1 - Probability to D: (not explicitly given, requires calculation) **Outcome Probabilities to Calculate:** - \( P(A \cap C) = \) (missing value, marked incorrect) - \( P(A \cap D) = \) (missing value) - \( P(B \cap C) = \) (missing value) - \( P(B \cap D) = \) (missing value) **Instructions:** Use the tree diagram to determine the joint probabilities for each outcome. Calculate the probabilities by multiplying the branches leading to the outcomes. **Example Calculation:** - For \( P(A \cap C) \), multiply the probability from A to the starting point with the probability from A to C. Complete the calculations for all outlined outcomes for an accurate understanding.
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