I need help making the tree diagram and understanding how to use it to find the probabilities Suppose that 16% of crimes of this type end up in acriminal charge. This district has a false conviction rate of5% (meaning the subject was charged but did notcommit the crime) and fail to charge at a rate of 10%(meaning the person committed the crime but was notcharged). If a randomly chosen suspect is charged, whatis the chance that the suspect actually committed thecrime? Use what you have learned in this chapter to helpanswer the following questions about the district's crimerates.1. Watch the video on Setting up a Tree Diagram(Transcript) and create a tree diagram based on theinformation given above. Use the image below tohelp you get started.CommittedChargeDid Not CommitCommittedNo ChargeDid Not Commit2. What is the probability that a randomly chosensuspect actually committed the crime?3. What's the probability that a randomly selectedsuspect was not charged, given they actuallycommitted the crime?4. What's the probability that a randomly selectedsuspect was charged given they did not commit thecrime? Explain why it makes sense for thisprobability to be less than the one you found inQuestion 3.

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Math

Statistics

I need help making the tree diagram and understanding how to use it to find the probabilities

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

I need help making the tree diagram and understanding how to use it to find the probabilities

Suppose that 16% of crimes of this type end up in a
criminal charge. This district has a false conviction rate of
5% (meaning the subject was charged but did not
commit the crime) and fail to charge at a rate of 10%
(meaning the person committed the crime but was not
charged). If a randomly chosen suspect is charged, what
is the chance that the suspect actually committed the
crime? Use what you have learned in this chapter to help
answer the following questions about the district's crime
rates.
1. Watch the video on Setting up a Tree Diagram
(Transcript) and create a tree diagram based on the
information given above. Use the image below to
help you get started.
Committed
Charge
Did Not Commit
Committed
No Charge
Did Not Commit
2. What is the probability that a randomly chosen
suspect actually committed the crime?
3. What's the probability that a randomly selected
suspect was not charged, given they actually
committed the crime?
4. What's the probability that a randomly selected
suspect was charged given they did not commit the
crime? Explain why it makes sense for this
probability to be less than the one you found in
Question 3.

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