On the planet of Mercury, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.4 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X the child spends alone per day. (Source: San Jose Mercury News) Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N(3 1.4 or or b. Find the probability that the child spends less than 1.7 hours per day unsupervised. c. What percent of the children spend over 2.1 hours per day unsupervised. decimal places) d. 77% of all children spend at least how many hours per day unsupervised? % (Round to 2 hours.
On the planet of Mercury, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.4 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X the child spends alone per day. (Source: San Jose Mercury News) Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N(3 1.4 or or b. Find the probability that the child spends less than 1.7 hours per day unsupervised. c. What percent of the children spend over 2.1 hours per day unsupervised. decimal places) d. 77% of all children spend at least how many hours per day unsupervised? % (Round to 2 hours.
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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![**Text Transcription:**
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On the planet of Mercury, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.4 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time \( X \) the child spends alone per day. (Source: San Jose Mercury News) Round all answers to 4 decimal places where possible.
a. What is the distribution of \( X \)? \( X \sim N \)
\( \begin{bmatrix} 3 & 1.4 \end{bmatrix} \)
b. Find the probability that the child spends less than 1.7 hours per day unsupervised.
[Text Box]
c. What percent of the children spend over 2.1 hours per day unsupervised. \( \) (Round to 2 decimal places)
[Text Box] %
d. 77% of all children spend at least how many hours per day unsupervised?
[Text Box] hours.
---
**Explanation of Input Elements:**
- For part (a), green boxes with checkmarks are used to input mean and standard deviation values.
- For parts (b), (c), and (d), there are blank text boxes for entering the respective answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7248d714-2630-4255-aa39-67ac8596a103%2F92796c17-dcf7-460d-aa0c-ee3d940726a4%2Fnxoynli_processed.png&w=3840&q=75)
Transcribed Image Text:**Text Transcription:**
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On the planet of Mercury, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.4 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time \( X \) the child spends alone per day. (Source: San Jose Mercury News) Round all answers to 4 decimal places where possible.
a. What is the distribution of \( X \)? \( X \sim N \)
\( \begin{bmatrix} 3 & 1.4 \end{bmatrix} \)
b. Find the probability that the child spends less than 1.7 hours per day unsupervised.
[Text Box]
c. What percent of the children spend over 2.1 hours per day unsupervised. \( \) (Round to 2 decimal places)
[Text Box] %
d. 77% of all children spend at least how many hours per day unsupervised?
[Text Box] hours.
---
**Explanation of Input Elements:**
- For part (a), green boxes with checkmarks are used to input mean and standard deviation values.
- For parts (b), (c), and (d), there are blank text boxes for entering the respective answers.
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