Suppose 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.8 hours and the amount of time spent alone is normally distributed. We randomly survey one 4-year-old living in a rural area. We are interested in the amount of time the child spends alone per day. ### Part (d)**Question:** What percent of the children spend over 10 hours per day unsupervised? (Round your answer to four decimal places.)**Answer:** [Text Box] %---### Part (e)**Question:** 90% of the children spend at least how long per day unsupervised? (Round your answer to two decimal places.)**Answer:** [Text Box] hours **Part (b)****Give the distribution of X.**X ~ ___ ( ___ , ___ )---**Part (c)****Find the probability that the child spends less than 1 hour per day unsupervised.**Write the probability statement.P( ___ )**What is the probability? (Round your answer to four decimal places.)**___Sketch the graph.**Graphs**:The image presents four graphs, each depicting a normal distribution curve (bell-shaped) on a coordinate plane with an x-axis ranging from -4 to 10. Each graph shows a symmetrical curve centered around a different value.1. **Top Left Graph**: The shaded region is to the left of the curve, from -4 to approximately 1 on the x-axis.2. **Top Right Graph**: The shaded region is in the center of the curve, roughly from -1 to 3 on the x-axis.3. **Bottom Left Graph**: The shaded region is to the left of the curve, similar to the top left from -4 to around 1.4. **Bottom Right Graph**: The shaded region is in the center of the curve, approximately between 0 and 4 on the x-axis.These shaded areas likely represent different probabilities related to the given problem.

Name: Suppose 4-year-olds in a certain country average 3 hours a day unsuper
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Suppose 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.8 hours and the amount of time spent alone is normal

Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Answered: 3 Part (b) Give the distribution of X.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

Suppose 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.8 hours and the amount of time spent alone is normally distributed. We randomly survey one 4-year-old living in a rural area. We are interested in the amount of time the child spends alone per day.

**Part (b)**

**Give the distribution of X.**

X ~ ___ ( ___ , ___ )

---

**Part (c)**

**Find the probability that the child spends less than 1 hour per day unsupervised.**

Write the probability statement.

P( ___ )

**What is the probability? (Round your answer to four decimal places.)**

___

Sketch the graph.

**Graphs**:

The image presents four graphs, each depicting a normal distribution curve (bell-shaped) on a coordinate plane with an x-axis ranging from -4 to 10. Each graph shows a symmetrical curve centered around a different value.

1. **Top Left Graph**: The shaded region is to the left of the curve, from -4 to approximately 1 on the x-axis.
2. **Top Right Graph**: The shaded region is in the center of the curve, roughly from -1 to 3 on the x-axis.
3. **Bottom Left Graph**: The shaded region is to the left of the curve, similar to the top left from -4 to around 1.
4. **Bottom Right Graph**: The shaded region is in the center of the curve, approximately between 0 and 4 on the x-axis.

These shaded areas likely represent different probabilities related to the given problem.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions