250 adults are practicing every day before taking part in a high-stakes children's game. The game requiresthem carefully to remove a shape- either a star or an umbrella-from a sugar wafer. 30% of those who choosestars on a given day will switch to umbrellas the next day, and 20% of those who choose umbrellas on agiven day will switch to stars the next day.(a) If 150 contestants practice with stars today, how many will practice with umbrellas tomorrow?(b) If the actual game is held a long time from now, what proportion of contestants do we expect will bepracticing with stars each day close to then? AnswerThe corresponding Markov matrix is P=[0.7 0.2]0.8(If you choose to list umbrellas first and stars0.3[0.8 0.3]second, then there is one other correct matrix: P =No other matrix is correct.) Using this0.2 0.7matrix, we find for part (a) that 125 are practicing with umbrellas tomorrow. For part (b), the unique steady-state vector (eigenvector of P with eigenvalue λ = 1 whose entries are positive and sum to 1) isin the long run, 2/5 (or 40%) will be practicing with stars.[2/5]SO3/5

Answered: Image /qna-images/answer/eaf5f93f-982f-4ff1-90c4-a262552203d2.jpg

Answered: 250 adults are practicing every day…

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

Similar questions

If there are 11 people in the first sample and 10 people in the second sample, the degrees of freedom for the first sample is type your answer... and type your answer... for the second sample.
Does the location of your seat in a classroom play a role in attendance or grade? 1600 students in a physics course were randomly assigned to one of four groups. The 400 students in group 1 sat 0 to 4 meters from the front of the class, the 400 students in group 2 sat 4 to 6.5 meters from the front, the 400 students in group 3 sat 6.5 to 9 meters from the front, and the 400 students in group 4 sat 9 to 12 meters from the front. Complete parts (a) through (c). Click the icon to view the chi-square table of critical values. (a) For the first half of the semester, the attendance for the whole class averaged 83%. So, if there is no effect due to seat location, we would expect 83% of students in each group to attend. The data show the attendance history for each group. How many students in each group attended, on average? Is there a significant difference among the groups in attendance patterns? 3 4 Group Attendance 1 0.84 0.84 0.84 0.80 The number of students who attended in the first…
Local parents and their children were invited to the grand opening of a daycare center. Each of the 153 attendees got to spin a wheel to win a prize. The table below summarizes the data on the attendees and their prizes. Pencil Cup Magnet Parent 17 48 7 Child 16 36 29 Suppose an attendee from the grand opening is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (If necessary, consult a list of formulas.) (a) What is the probability that the attendee is a child or won a pencil? ? (b) What is the probability that the attendee is a parent, given that the attendee won a cup?
In a study of how the environment affects spending, researchers varied the presence of music and scents in a shopping mall. Interviews with shoppers who made unplanned purchases revealed the average purchase amounts shown to the right. Each group has 100 shoppers. Complete parts (a) through (c) below. (a) If each group includes 100 shoppers, which group spent the most money in total? Condition None Scent Music Scent and music A. The group that was exposed to only music spent the most money in total. B. The group that was exposed to only scent spent the most money in total. C. The group that was exposed to both scent and music spent the most money in total. D. The group that was exposed to neither scent nor music spent the most money in total. (b) If medians summarized each group's spending rather than means, would you be able to identify the group with the largest spending? A. No, the total amount cannot be recovered from the median value. B. Yes, the total amount can be recovered from…
The fractions of colors in a population of squirrels is 0.73 red and 0.27 black. If two are chosen at random, what are the chances they have the same color? Give two digits past decimal.
At a football game, 40 fans were randomly surveyed. Of the sampled fans, 6 named Daren as the best player. Given this sample, if there are 12,000 fans altogether at the game, how many fans would likely name Daren as the best player? O 720 O 1,800 O 4,800 O 80,000 Choice Blocker Highlight Line Viewer Ruler Ruler (Grades 2&3) Protractor Calc Basic Calc Sci Reference Try Desmos Graphing Calc
A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes to rest in one of many spots. Whatever is listed in that spot will be the player's winnings. If the wheel has 7 spots labeled $1, 9 spots labeled $2, and 6 spots labeled $10, how much should a player expect to win on average? Round to the nearest cent.
In a series of studies, Sebastian Deri and his colleagues (2017) asked multiple groups about the number of friend groups they had and how often they attended different social events. They then asked participants how they thought their own numbers compared to other people's: Did participants see themselves as less social, the same as, or more social than others? In the first study, the researchers reported that: "Three hundred four participants from Amazon's Mechanical Turk (150 women; Mage = 37.1; 78% White, 10% Black, and 6% Asian) completed a survey in exchange for modest payment" (p. 860). What do the researchers mean by "Amazon's Mechanical Turk" with respect to their sample of participants? O A. An archival data set that already exists and from which researchers can use data O B. An online tool that researchers can use to recruit people to participate in research in exchange for a small payment O C. An e-book sold by Amazon that includes contact information for possible…

Recommended textbooks for you

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

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

SEE MORE TEXTBOOKS