Exercise 1. The annual number of murders in Chicago and LA are modeled as independent Poissons with means 500 and 240. [Note: The rates per 100,000 were about 23.8 and 7.3, resp, in 2016.) (a) What is the probability that Chicago sees over 525 murders next year [an increase of over 5%]? (b) What is the probability that LA sees over 252 murders next year (an increase of over 5%]? (c) What is the probability that Chicago and LA combined see a total of over 777 murders next year [an increase of over 5%]?

MATLAB: An Introduction with Applications
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Exercise 1. The annual number of murders in Chicago and LA are modeled as independent Poissons with
means 500 and 240. [Note: The rates per 100,000 were about 23.8 and 7.3, resp, in 2016.]
(a) What is the probability that Chicago sees over 525 murders next year [an increase of over 5%]?
(b) What is the probability that LA sees over 252 murders next year [an increase of over 5%]?
(c) What is the probability that Chicago and LA combined see a total of over 777 murders next year [an
increase of over 5%]?
Transcribed Image Text:Exercise 1. The annual number of murders in Chicago and LA are modeled as independent Poissons with means 500 and 240. [Note: The rates per 100,000 were about 23.8 and 7.3, resp, in 2016.] (a) What is the probability that Chicago sees over 525 murders next year [an increase of over 5%]? (b) What is the probability that LA sees over 252 murders next year [an increase of over 5%]? (c) What is the probability that Chicago and LA combined see a total of over 777 murders next year [an increase of over 5%]?
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