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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Problem Context:**

The average number of field mice per acre in a 7-acre wheat field is estimated to be 14.

**Problem Statements:**

(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.

**Instructions:**

- Click here to view the table of Poisson probability sums.

---

**Solution Steps:**

(a) The probability that fewer than 12 field mice are found on a given acre is [blank box to fill in].

(Instructions: Round to four decimal places as needed.)
Transcribed Image Text:**Problem Context:** The average number of field mice per acre in a 7-acre wheat field is estimated to be 14. **Problem Statements:** (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. **Instructions:** - Click here to view the table of Poisson probability sums. --- **Solution Steps:** (a) The probability that fewer than 12 field mice are found on a given acre is [blank box to fill in]. (Instructions: Round to four decimal places as needed.)
**Text:**

On average, a textbook author makes 1 word-processing error per page on the first draft of her textbook.

(a) What is the probability that on the next page she will make 2 or more errors?  
(b) What is the probability that a randomly selected page is error free?  

*Click here to view the table of Poisson probability sums.*

---

(a) The probability that a page has at least 2 errors is [ ].  
*(Round to four decimal places as needed.)*

**Explanation:**

The text introduces a problem related to Poisson probability, where the average rate of occurrence (λ) is 1 error per page. Readers are guided through questions about finding specific probabilities, including making 2 or more errors on a page and having error-free pages. A prompt to view a Poisson table suggests using it for solving the problem.
Transcribed Image Text:**Text:** On average, a textbook author makes 1 word-processing error per page on the first draft of her textbook. (a) What is the probability that on the next page she will make 2 or more errors? (b) What is the probability that a randomly selected page is error free? *Click here to view the table of Poisson probability sums.* --- (a) The probability that a page has at least 2 errors is [ ]. *(Round to four decimal places as needed.)* **Explanation:** The text introduces a problem related to Poisson probability, where the average rate of occurrence (λ) is 1 error per page. Readers are guided through questions about finding specific probabilities, including making 2 or more errors on a page and having error-free pages. A prompt to view a Poisson table suggests using it for solving the problem.
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