City crime records show that 40% of all crimes are violent and 60% are nonviolent, involving theft, forgery, and so on. Ninety percent of violent crimes are reported versus 80% of nonviolent crimes. (a) What is the overall reporting rate for crimes in the city? Answer:_______% (b) If a crime in progress is reported to the police, what is the probability that the crime is violent? (Round your answer to two decimal places.) Answer:_ If a crime in progress is reported to the police, what is the probability that it is nonviolent? (Round your answer to two decimal places.) Answer:_________ (c)Refer to part (b). If a crime in progress is reported to the police, why is it more likely that it is a nonviolent crime? Wouldn't violent crimes be more likely to be reported? Can you explain these results? _The proportion of nonviolent crimes is larger than the proportion of violent crimes. Therefore, when a crime is reported, it is actually more likely to be a violent crime. _The proportion of nonviolent crimes is larger than the proportion of violent crimes. Therefore, when a crime is reported, it is more likely to be a nonviolent crime. _The probability of reporting a violent crime is larger than the probability of reporting a nonviolent crime. Therefore, when a crime is reported, it is actually more likely to be a violent crime. ___The probability of reporting a violent crime is larger than the probability of reporting a nonviolent crime. Therefore, when a crime is reported, it is more likely to be a nonviolent crime.

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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City crime records show that 40% of all crimes are violent and 60% are nonviolent, involving theft, forgery, and so on. Ninety percent of violent crimes are reported versus 80% of nonviolent crimes.

(a) What is the overall reporting rate for crimes in the city?

Answer:_______________%

(b) If a crime in progress is reported to the police, what is the probability that the crime is violent? (Round your answer to two decimal places.)

Answer:_______________

If a crime in progress is reported to the police, what is the probability that it is nonviolent? (Round your answer to two decimal places.)

Answer:_________________

(c)Refer to part (b). If a crime in progress is reported to the police, why is it more likely that it is a nonviolent crime? Wouldn't violent crimes be more likely to be reported? Can you explain these results?

_____The proportion of nonviolent crimes is larger than the proportion of violent crimes. Therefore, when a crime is reported, it is actually more likely to be a violent crime.

_____The proportion of nonviolent crimes is larger than the proportion of violent crimes. Therefore, when a crime is reported, it is more likely to be a nonviolent crime.

_____The probability of reporting a violent crime is larger than the probability of reporting a nonviolent crime. Therefore, when a crime is reported, it is actually more likely to be a violent crime.

_____The probability of reporting a violent crime is larger than the probability of reporting a nonviolent crime. Therefore, when a crime is reported, it is more likely to be a nonviolent crime.

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