The average number of field mice per acre in a 7-acre wheat field is estimated to be 14. (a) Find the probability that fewer than 12 field mice are found on a given acre. (b) Find the probability that fewer than 12 field mice are found on 2 of the next 3 acres inspected. Click here to view the table of Poisson probability sums. (a) The probability that fewer than 12 field mice are found on a given acre is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The average number of field mice per acre in a 7-acre wheat field is estimated to be 14.

(a) Find the probability that fewer than 12 field mice are found on a given acre.

(b) Find the probability that fewer than 12 field mice are found on 2 of the next 3 acres inspected.

[Click here to view the table of Poisson probability sums.]

---

(a) The probability that fewer than 12 field mice are found on a given acre is [ ]. (Round to four decimal places as needed.)
Transcribed Image Text:The average number of field mice per acre in a 7-acre wheat field is estimated to be 14. (a) Find the probability that fewer than 12 field mice are found on a given acre. (b) Find the probability that fewer than 12 field mice are found on 2 of the next 3 acres inspected. [Click here to view the table of Poisson probability sums.] --- (a) The probability that fewer than 12 field mice are found on a given acre is [ ]. (Round to four decimal places as needed.)
### Traffic Accident Probability Analysis at an Intersection

#### Overview
On average, 2 traffic accidents occur per month at a certain intersection. The following questions explore the probabilities concerning the occurrence of accidents using the Poisson distribution.

#### Poisson Probability Sums Table
To view the detailed probabilities, refer to the table of Poisson probability sums [link to table].

#### Questions

**(a) Probability of Exactly 6 Accidents**
- **Question:** What is the probability that exactly 6 accidents will occur in any given month at this intersection?
- **Answer:** The probability that exactly 6 accidents will occur in any given month is **0.0120**.
- **Note:** Round to four decimal places as needed.

**(b) Probability of Fewer Than 4 Accidents**
- **Question:** What is the probability that fewer than 4 accidents will occur in any given month at this intersection?
- **Answer:** The probability that fewer than 4 accidents will occur in any given month is [space to fill in answer].
- **Note:** Round to four decimal places as needed.

By analyzing the probability distribution, one can better understand the likelihood of varying numbers of accidents occurring within a month, aiding in traffic management and safety planning.
Transcribed Image Text:### Traffic Accident Probability Analysis at an Intersection #### Overview On average, 2 traffic accidents occur per month at a certain intersection. The following questions explore the probabilities concerning the occurrence of accidents using the Poisson distribution. #### Poisson Probability Sums Table To view the detailed probabilities, refer to the table of Poisson probability sums [link to table]. #### Questions **(a) Probability of Exactly 6 Accidents** - **Question:** What is the probability that exactly 6 accidents will occur in any given month at this intersection? - **Answer:** The probability that exactly 6 accidents will occur in any given month is **0.0120**. - **Note:** Round to four decimal places as needed. **(b) Probability of Fewer Than 4 Accidents** - **Question:** What is the probability that fewer than 4 accidents will occur in any given month at this intersection? - **Answer:** The probability that fewer than 4 accidents will occur in any given month is [space to fill in answer]. - **Note:** Round to four decimal places as needed. By analyzing the probability distribution, one can better understand the likelihood of varying numbers of accidents occurring within a month, aiding in traffic management and safety planning.
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