9.10. A certain person goes for a run each morning. When he leaveshis house for his run, he is equally likely to go out either the front or theback door, and similarly, when he returns, he is equally likely to go toeither the front or the back door. The runner owns 5 pairs of runningshoes, which he takes off after the run at whichever door he happensto be. If there are no shoes at the door from which he leaves to gorunning, he runs barefooted. We are interested in determining theproportion of time that he runs barefooted.a. Set this problem up as a Markov chain. Give the states and thetransition probabilities.b. Determine the proportion of days that he runs barefooted.

Consider (x,y) where x = the number of pairs of shoes at the front door & y = the number of…

Answered: 9.10. A certain person goes for a run…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Assume that in a marketing study it has been found that on a fall Saturday afternoon 15% of adult men watch sports programming on network A from 1:00 P.M. to 2:00 P.M., 18% watch on network C from 2:00 P.M. to 3:00 P.M., and 7% watch on both networks. For simplicity assume that viewers of these programs are sure to see advertisements if they are watching a program. What is the probability that the ad will be seen by a randomly chosen adult man if Chips ‘n’ Fish Restaurants advertise only on network A during the sports programming segment? What is the probability that the ad will be seen by a randomly chosen adult man if Chips ‘n’ Fish Restaurants advertise on both networks during the sports programming segment? If Chips ‘n’ Fish Restaurants advertise on both networks during the sports programming segment, what is the probability that an ad will be seen only on network C?
Only looking for a, b, and c.
In a certain game, an urn contains 5 red, 7 white numbered balls. A ball is drawn at random from the urn. If this first ball is red, a second ball is drawn from the urn the colour of both balls is recorded. If, instead, the first ball was white, it is returned to the urn and a second ball is drawn. Only the colour of this second ball is then recorded. Furthermore, we also give the player a point each time a red ball is recorded. What is the expected number of points for this game?
Q.1)There were 150 pupils on a year 7 sponsored walk. 40% of the pupils were boys. 20% of the girls completed the walk in less than two hours. How many girls completed the walk in less than two hours? The answer to this question with the full explanation. Q.2) There are 20 people in a café and 75% of them order a pizza. How many of the people order a pizza? Q.3) There are 28 pupils in class 7A and 25% of them have a dog. How many pupils in class 7A have a dog?
5. An office manager is looking to purchase a new printer for his office. He has narrowed his choices down to four printers but cannot decide which of the four he prefers. He has decided to choose two of the four printers at random, and then to let the other members of the office decide which of the two they prefer. The speeds, in pages per minute, of the four printers are 25, 30, 27, and 32. Considering the speeds of the two printers chosen to be the sample, what are the mean and the standard deviation of the sample mean?
10. Ten days before Valentine's Day, Jim plans to send his first love gifts. On the first day, he sent one love gift, on the second day he sent two love gifts, on the third day he sent three love gifts, and so on. a. How many gifts did Jim send on the tenth day? b. How many gifts in all did he send on the tenth day?
Mr Hail, Miss rain and Mrs Snow all apply for a job as a park keeper. Whichever one gets the job will have to open the gates of the park at 5.30 am. If Mr Hail gets the job, he will only open the gates on time 50% of the time. If Miss rain gets the job she will only open the gates on time 40% of the time. If Mrs Snow gets the job she will always open the gates on time. Assume that Mr hail has a 40 % chance of getting the job, and that Miss rain and Miss Snow each have a 30 % chance of getting the job. What is the probability that the parks gates will be opened on time ? Question 39Select one: a. 0.6200 b. 0.3500 c. 0.2000 d. 0.3200 Refer to the question above. Using the same data, if the gates are opened on time, what is the probability that Mrs Snow got the job? Question 40Select one: a. 0.0857 b. 0.3429 c. 0.4839 d. 0.5061
Each of four neighbors, Adel, Angelo, Aubrey and Auwie, has a different occupation (baker, teacher, police officer, or beautician). From the following clues determine the occupation of each neighbor. 1. Angelo gets home from work after the teacher but before the beautician. 2. Aubrey, who is the last to get home from work, is not the baker. 3. The beautician and Aubrey leave for work at the same time. 4. The teacher lives next door to Auwie.
3B.3.3 Please refer to the attached image for my question!
In a gambling game, I roll two dice and win $1 if the sum of my two rolls is largerthan 7. I lose $1 if the sum of my two rolls is smaller than 7. In any other cases, Idon’t lose or win anything. I am going to repeat this game 72 times. c) Now make a box model for the number of times I win, including the values onthe tickets, the number of repeats of each ticket, and how many draws we willmake with replacement from the box. The average of the tickets in the box from (c) is ___________ and the SD is___________.
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