
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Question

Transcribed Image Text:On the planet of Mercury, 4-year-olds average 3.2 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 \( X \)? \( X \sim N(\underline{\phantom{0000}}, \underline{\phantom{0000}}) \)
b. Find the probability that the child spends less than 2.2 hours per day unsupervised.
\(\underline{\phantom{0000}}\)
c. What percent of the children spend over 3.4 hours per day unsupervised.
\(\underline{\phantom{0000}}\%\) (Round to 2 decimal places)
d. 88% of all children spend at least how many hours per day unsupervised?
\(\underline{\phantom{0000}}\) hours.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 2 images

Knowledge Booster
Similar questions
- 76% of all bald eagles survive their first year of life. Give your answers as decimals, not percents. If 30 bald eagles are randomly selected, find the probability that (a) At most 22 of them survive their first year of life. 0.73 (b) At least 23 of them survive their first year of life. (c) Exactly 21 of them survive their first year of life. Xarrow_forwardp = 64.43%| d A trick coin has been weighted so that the probability of heads is 0.8 and the probability of tails is 0.2. 4. If you toss the coin 100 times how many heads would you expect on the average? =Dd 5. What is the probability of obtaining more than 95heads in 100 tosses? =Dd What is the probability of obtaining fewer than 95heads in 100 tosses? 6. 7. What is the probability of obtaining exactly 95 heads in 100 tosses? %3D 8. A true-false test has 36 questions. If a passing arade on this test is Y-24 (or morelcorrectarrow_forwardR1arrow_forward
- Answer.arrow_forwarduse each described binomial probability distribution to calculate the cumulative probability requested. The probability of a high school student in America wearing jeans to school on a particular day is 40%. Leon stood by the doorway of his classroom and recorded whether the next 10 students who entered the classroom were wearing jeans.arrow_forwardWhich of the following predictions can be calculated using a geometric distribution? a. the number of expeditions that will reach the top of Mount Everest this year b. the number of trucks a weigh station will inspect before finding one that is overloaded C. both of the above d. neither of the above 31 SAMSUNG DIl 9% & 5 6 7 8. yarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman

MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc

Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning

Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning

Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON

The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman