2) In this question you are expected to use computer support to find the final answers. That is, you will decide how to answer the question (remember to write that down for us to check) and then finish the calculation by using a computer program such as R or Microsoft Excel. The police commissioner of a city police force wants to know if she should increase the number of police officers patrolling the city's streets. On average there are 12 violent crimes per day. (a) What is the probability that there are no violent crimes on a given day? (b) The police commissioner decides she will increase the number of police officers on patrol if the probability that 8 or more violent crimes will occur on a given day is greater than 2/3. Will she increase the number of police officers on patrol? (c) What is the probability that at most 21 violent crimes occur on a given day?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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2) In this question you are expected to use computer support to find the final answers.
That is, you will decide how to answer the question (remember to write that down for
us to check) and then finish the calculation by using a computer program such as R or
Microsoft Excel.
The police commissioner of a city police force wants to know if she should increase the
number of police officers patrolling the city's streets. On average there are 12 violent
crimes per day.
(a) What is the probability that there are no violent crimes on a given day?
(b) The police commissioner decides she will increase the number of police officers on
patrol if the probability that 8 or more violent crimes will occur on a given day
is greater than 2/3. Will she increase the number of police officers on patrol?
1
(c) What is the probability that at most 21 violent crimes occur on a given day?
(d) What is the probability that there are more than 12 violent crimes on a day when
there is at least one violent crime?
Transcribed Image Text:2) In this question you are expected to use computer support to find the final answers. That is, you will decide how to answer the question (remember to write that down for us to check) and then finish the calculation by using a computer program such as R or Microsoft Excel. The police commissioner of a city police force wants to know if she should increase the number of police officers patrolling the city's streets. On average there are 12 violent crimes per day. (a) What is the probability that there are no violent crimes on a given day? (b) The police commissioner decides she will increase the number of police officers on patrol if the probability that 8 or more violent crimes will occur on a given day is greater than 2/3. Will she increase the number of police officers on patrol? 1 (c) What is the probability that at most 21 violent crimes occur on a given day? (d) What is the probability that there are more than 12 violent crimes on a day when there is at least one violent crime?
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