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1 0.3 0.2 0.5 I 1 0 2 0.5 1st beetle 10.3 I 10.2 ¹0.3 2nd ¹0.2 beetle I I

1 0.3 0.2 0.5 I 1 0 2 0.5 1st beetle 10.3 I 10.2 ¹0.3 2nd ¹0.2 beetle I I

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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This image depicts a decision tree diagram with probabilities related to two beetles. ### Explanation of the Diagram: - **Starting Point:** - The tree begins with two branches labeled "1" and "0". - The branch labeled "1" extends into two subsequent branches. - **First Set of Branches:** - **Left Branch (leading to "0.2"):** Represents a probability of 0.2. - **Right Branch (leading to "0.5"):** Leads to further branching with the label "2". - **Second Set of Branches:** - At the end of branch "0.5", it splits further labeled as "1st beetle". - **Branch labeled "1st beetle"** further splits: - **Left Branch (leading to "0.3"):** Represents a probability of 0.3. - **Right Branch (leading to "0.2"):** Represents a probability of 0.2. - **Third Set of Branches:** - At the end of the branch labeled "2", there is another split labeled as "2nd beetle". - **Branch labeled "2nd beetle"** further splits: - **Left Branch (leading to "0.3"):** Represents a probability of 0.3. - **Right Branch (leading to "0.2"):** Represents a probability of 0.2. ### Purpose of the Diagram: This diagram can be used to model decision-making scenarios involving the behavior or outcomes of two beetles. Each branch represents a possible outcome, and the associated probabilities are provided along the lines to indicate the likelihood of each event occurring.
Transcribed Image Text:This image depicts a decision tree diagram with probabilities related to two beetles. ### Explanation of the Diagram: - **Starting Point:** - The tree begins with two branches labeled "1" and "0". - The branch labeled "1" extends into two subsequent branches. - **First Set of Branches:** - **Left Branch (leading to "0.2"):** Represents a probability of 0.2. - **Right Branch (leading to "0.5"):** Leads to further branching with the label "2". - **Second Set of Branches:** - At the end of branch "0.5", it splits further labeled as "1st beetle". - **Branch labeled "1st beetle"** further splits: - **Left Branch (leading to "0.3"):** Represents a probability of 0.3. - **Right Branch (leading to "0.2"):** Represents a probability of 0.2. - **Third Set of Branches:** - At the end of the branch labeled "2", there is another split labeled as "2nd beetle". - **Branch labeled "2nd beetle"** further splits: - **Left Branch (leading to "0.3"):** Represents a probability of 0.3. - **Right Branch (leading to "0.2"):** Represents a probability of 0.2. ### Purpose of the Diagram: This diagram can be used to model decision-making scenarios involving the behavior or outcomes of two beetles. Each branch represents a possible outcome, and the associated probabilities are provided along the lines to indicate the likelihood of each event occurring.
We can use simulation to examine the fate of populations of living creatures. Consider the Asian stochastic beetle. Females of this insect have the following pattern of reproduction: - 20% of females die without female offspring, 30% have one female offspring, and 50% have two female offspring. - Different females reproduce independently. **Question:** What will happen to the population of Asian stochastic beetles: will they increase rapidly, barely hold their own, or die out? It is enough to look at the female beetles, as long as there are some males around. The tree diagram represents the female descendants of one beetle through three generations. Label the nodes with the number of female descendants. The tree diagram shows a series of branching paths that represent potential outcomes for the number of female beetle offspring over three generations. Each branch is associated with a probability, representing the likelihood of that outcome based on the reproduction pattern provided. Specifically, the first branching point shows probabilities of 0.2 and 0.3, likely indicating the probability of zero and one female offspring in the first generation. The students are tasked with labeling the nodes with numbers from the Answer Bank [4, 0, 1, 2, 3] representing the number of female descendants at each node.
Transcribed Image Text:We can use simulation to examine the fate of populations of living creatures. Consider the Asian stochastic beetle. Females of this insect have the following pattern of reproduction: - 20% of females die without female offspring, 30% have one female offspring, and 50% have two female offspring. - Different females reproduce independently. **Question:** What will happen to the population of Asian stochastic beetles: will they increase rapidly, barely hold their own, or die out? It is enough to look at the female beetles, as long as there are some males around. The tree diagram represents the female descendants of one beetle through three generations. Label the nodes with the number of female descendants. The tree diagram shows a series of branching paths that represent potential outcomes for the number of female beetle offspring over three generations. Each branch is associated with a probability, representing the likelihood of that outcome based on the reproduction pattern provided. Specifically, the first branching point shows probabilities of 0.2 and 0.3, likely indicating the probability of zero and one female offspring in the first generation. The students are tasked with labeling the nodes with numbers from the Answer Bank [4, 0, 1, 2, 3] representing the number of female descendants at each node.
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