Finite Mathematics for the Managerial, Life, and Social Sciences
12th Edition
ISBN: 9781337405782
Author: Soo T. Tan
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 9.1, Problem 19E
To determine
(a)
To construct:
A tree diagram describing the transition between states and their transitional probabilities.
To determine
(b)
To represent:
The given transition probabilities into the term of matrix.
To determine
(c)
To find:
The initial-state probability
To determine
(d)
To find:
The probability that the mouse will turn left on the second trial.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A team of psychologists studied the concept of visualization in basketball, where players visualize making a basket before shooting the ball. They conducted an experiment in which 20 basketball players with similar abilities were randomly assigned to two groups. The 10 players in group 1 received visualization training, and the 10 players in group 2 did not.
Each player stood 22 feet from the basket at the same location on the basketball court. Each player was then instructed to attempt to make the basket until two consecutive baskets were made. The players who received visualization training were instructed to use visualization techniques before attempting to make the basket. The total number of attempts, including the last two attempts, were recorded for each player.
The total number of attempts for each of the 20 players are summarized in the following boxplots.
(a) Based on the boxplots, did basketball players who received visualization training tend to need fewer attempts…
A researcher is interested in the effects of cocaine on learning. A group of rats is randomly assigned to receive either cocaine or a non-harmful saline solution. The rats are taught how to run a maze. The cocaine rats need to be reared away from the control group rats, so they are handled and taught by one experimenter, and the control group rats are handled and taught by another experimenter. The results showed that the control group rats learned how to run the maze more quickly than the cocaine rats.
1. What is the independent variable?
2. What is the dependent variable?
3. What is the confounding?
4. How could the confounding be fixed?
In a study of hypnotic suggestion, 16 male volunteers were randomly allocated to a treatment groupand a control group. Each subject participated in a two-phase experimental session. In the first phase, respiration was measured while the subject was awake and at rest. In the second phase, the subject was told to imagine that he was performing muscular work, and respiration was measured again. For subjects in the treatment group, hypnosis was induced between the first and second phases; thus, the suggestion to imagine muscular work was “hypnotic suggestion” for treatment subjects and “waking suggestion” for control subjects. The table below shows the measurements of total ventilation (liters of air per minute per square meter of body area) for all 16 subjects.
(a) For those being hypnotized (treatment group), test the hypotheses H0: μrest = μwork versus Ha:μrest 6= μwork, where μrest and μwork are respectively the mean total ventilation when they are atrest and when they are performing…
Chapter 9 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences
Ch. 9.1 - What is a finite stochastic process? What can you...Ch. 9.1 - Prob. 2CQCh. 9.1 - Consider a transition matrix T for a Markov chain...Ch. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7E
Ch. 9.1 - Prob. 8ECh. 9.1 - Prob. 9ECh. 9.1 - In Exercises 1-10, determine which of the matrices...Ch. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - In Exercises 1518, find X2 the probability...Ch. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Political Polls: Morris Polling conducted a poll 6...Ch. 9.1 - Commuter Trends: In a large metropolitan area, 20...Ch. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - MARKET SHARE OF AUTO MANUFACTURERES In a study of...Ch. 9.1 - Prob. 27ECh. 9.1 - Homeowners choice of Energy: A study conducted by...Ch. 9.1 - In Exercises 29 and 30, determine whether the...Ch. 9.1 - Prob. 30ECh. 9.1 - Prob. 1TECh. 9.1 - Prob. 2TECh. 9.1 - Prob. 3TECh. 9.1 - Prob. 4TECh. 9.2 - What is a A steady state distribution vector, b a...Ch. 9.2 - Prob. 2CQCh. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - COMMUTER TRENDS Within a large metropolitan area,...Ch. 9.2 - Prob. 19ECh. 9.2 - PROFESSIONAL WOMEN From data compiled over a...Ch. 9.2 - Prob. 21ECh. 9.2 - HOMEOWNERS' CHOICE OF ENERGY A study conducted by...Ch. 9.2 - NETWORK NEWS VIEWERSHIP A television poll was...Ch. 9.2 - Prob. 24ECh. 9.2 - GENETICS In a certain species of roses, a plant...Ch. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 1TECh. 9.2 - Prob. 2TECh. 9.2 - Prob. 3TECh. 9.3 - What is an absorbing stochastic matrix?Ch. 9.3 - Prob. 2CQCh. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - In Exercises 9-14, rewrite each absorbing...Ch. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - GAME OF CHANCE Refer to Exercise 26. Suppose Diane...Ch. 9.3 - Prob. 28ECh. 9.3 - COLLEGE GRADUATION RATE: The registrar of...Ch. 9.3 - Prob. 30ECh. 9.3 - GENETICS Refer to Example 4. If the offspring are...Ch. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.4 - a. What is the maximin strategy for the row player...Ch. 9.4 - Prob. 2CQCh. 9.4 - Prob. 1ECh. 9.4 - In Exercises 1-8, determine the maximin and...Ch. 9.4 - In Exercises 1-8, determine the maximin and...Ch. 9.4 - Prob. 4ECh. 9.4 - Prob. 5ECh. 9.4 - In Exercises 1-8, determine the maximin and...Ch. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - In Exercises 9-18, determine whether the...Ch. 9.4 - In Exercises 9-18, determine whether the...Ch. 9.4 - Prob. 12ECh. 9.4 - Prob. 13ECh. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - GAME OF MATCHING FINGERS Robin and Cathy play a...Ch. 9.4 - Prob. 20ECh. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - MARKET SHARE: Rolands Barber Shop and Charleys...Ch. 9.4 - In Exercises 24-26, determine whether the...Ch. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.5 - Prob. 1CQCh. 9.5 - Prob. 2CQCh. 9.5 - Prob. 1ECh. 9.5 - Prob. 2ECh. 9.5 - Prob. 3ECh. 9.5 - Prob. 4ECh. 9.5 - In Exercises 1-6, the payoff matrix and strategies...Ch. 9.5 - Prob. 6ECh. 9.5 - Prob. 7ECh. 9.5 - Prob. 8ECh. 9.5 - The payoff matrix for a game is [332311121] a....Ch. 9.5 - The payoff matrix for a game is [423422352] a....Ch. 9.5 - Prob. 11ECh. 9.5 - Prob. 12ECh. 9.5 - In Exercises 11-16, find the optimal strategies, P...Ch. 9.5 - Prob. 14ECh. 9.5 - Prob. 15ECh. 9.5 - Prob. 16ECh. 9.5 - COIN-MATCHING GAME Consider the coin-matching game...Ch. 9.5 - INVESTMENT STRATEGIES As part of their investment...Ch. 9.5 - INVESTMENT STRATEGIES The Maxwells have decided to...Ch. 9.5 - CAMPAIGN STRATEGIES Bella Robinson and Steve...Ch. 9.5 - MARKETING STRATEGIES Two dentists, Lydia Russell...Ch. 9.5 - Prob. 22ECh. 9.5 - Prob. 23ECh. 9.CRQ - Prob. 1CRQCh. 9.CRQ - Prob. 2CRQCh. 9.CRQ - Fill in the blanks. The probabilities in a Markov...Ch. 9.CRQ - Fill in the blanks. A transition matrix associated...Ch. 9.CRQ - Prob. 5CRQCh. 9.CRQ - Prob. 6CRQCh. 9.CRQ - Prob. 7CRQCh. 9.CRQ - Prob. 8CRQCh. 9.CRQ - Prob. 9CRQCh. 9.CRQ - Prob. 10CRQCh. 9.CRE - Prob. 1CRECh. 9.CRE - Prob. 2CRECh. 9.CRE - Prob. 3CRECh. 9.CRE - Prob. 4CRECh. 9.CRE - Prob. 5CRECh. 9.CRE - Prob. 6CRECh. 9.CRE - In Exercises 7-10, determine whether the matrix is...Ch. 9.CRE - Prob. 8CRECh. 9.CRE - Prob. 9CRECh. 9.CRE - Prob. 10CRECh. 9.CRE - In Exercises 11-14, find the steady-state matrix...Ch. 9.CRE - Prob. 12CRECh. 9.CRE - Prob. 13CRECh. 9.CRE - Prob. 14CRECh. 9.CRE - Prob. 15CRECh. 9.CRE - Prob. 16CRECh. 9.CRE - Prob. 17CRECh. 9.CRE - Prob. 18CRECh. 9.CRE - Prob. 19CRECh. 9.CRE - Prob. 20CRECh. 9.CRE - Prob. 21CRECh. 9.CRE - Prob. 22CRECh. 9.CRE - Prob. 23CRECh. 9.CRE - Prob. 24CRECh. 9.CRE - Prob. 25CRECh. 9.CRE - Prob. 26CRECh. 9.CRE - Prob. 27CRECh. 9.CRE - Prob. 28CRECh. 9.CRE - Prob. 29CRECh. 9.CRE - OPTIMIZING DEMAND The management of a divison of...Ch. 9.BMO - The transition matrix for a Markov process is...Ch. 9.BMO - Prob. 2BMOCh. 9.BMO - Prob. 3BMOCh. 9.BMO - Prob. 4BMOCh. 9.BMO - The payoff matrix for a certain game is A=[213234]...Ch. 9.BMO - Prob. 6BMO
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Imagine you were interested in studying whether taking 6 weeks of karate lessons improves children’s self-regulation. You compare children who take karate vs. Swimming lessons before and after 6 weeks of training. Which of the following results would be an example of an interaction: A. There is no difference the karate and swimming groups self-regulation at the start of training, but after 6 weeks self-regulation is better in the karate group than in the swimming group B. There is no difference the karate and swimming groups self-regulation at the start or end of training C. There is no difference in self regulation scores for either group before vs after training D. Both groups improved their self-regulation over the 6 weeks to the same extentarrow_forwardDo people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was described as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack. The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger). Treatment Group Healthy Tasty 5 8 7 Hunger Rating No Snack 3 4 4 4 1 4 2 7 3 6 2 5 6 5 5 4 7 5 2 3 4 6 4 4 Sample Mean 5.6667 3.4444 4.2222 Sample…arrow_forwardDo people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was described as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack. The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger). TreatmentGroup Hunger Rating SampleMean SampleStandardDeviation Healthy 5 8 7 4 7 3 4 7 6 5.6667 1.7321 Tasty 4 1 5 2 6 2 5 3 4 3.5556…arrow_forward
- Research shows that taking notes by hand allows students to remember material better than typing up those notes on a computer. A similar study on the topic was conducted by a psychologist trying to show that taking notes using the pen-and-paper method leads to better recall ability than typing them up. Half of the students in a class were randomly assigned to take notes for one week with the pen-and-paper method and the other half was assigned to take notes using an electronic device. At the end of the week, an exam was given to all students in the class. Exam scores were recorded from 100 students in this study. A sample of 9 students was selected from the original group and their exam scores are given below: 66, 74, 72, 71, 66, 70, 71, 70, 70 (1 pt) What are the appropriate measures of variability? (write out in words) (6 pts) Write in the formula and then calculate the appropriate measures of variability: 1) 2) 3)arrow_forwardMany animals, including humans, tend to avoid directeye contact and even patterns that look like eyes.Some insects, including moths, have evolved eye-spotpatterns on their wings to help ward off predators.Scaife (1976) reports a study examining how eye-spotpatterns affect the behavior of birds. In the study, thebirds were tested in a box with two chambers andwere free to move from one chamber to another. Inone chamber, two large eye-spots were painted onone wall. The other chamber had plain walls. Theresearcher recorded the amount of time each birdspent in the plain chamber during a 60-minute session.Suppose the study produced a mean of M = 34.5 minutes on the plain chamber with SS = 210 for a sample of n = 15 birds. (Note: If the eye spots have no effect,then the birds should spend an average of μ = 30minutes in each chamber.)a. Is this sample sufficient to conclude that the eyespots have a significant influence on the birds’behavior? Use a two-tailed test with α = .05.b. Compute the…arrow_forwardShould you have a cup of coffee to make you more alert when studying for a big test? A researcher is interested in studying the effect of caffeine, and he comes up with the following plan for an experiment. The experiment will involve 100 volunteers each of which will take a memory test 20 minutes after drinking cola. Some volunteers will be randomly assigned to drink caffeine-free cola; some to drink regular cola (with caffeine), and the others a mixture of the two (getting a half dose of caffeine). For each volunteer, a test score (the number of items recalled correctly) will be recorded. The volunteers will not be told which type of cola they have been given, but the researcher who evaluates the results will prepare the cups of cola right on the spot (out of sight of the volunteers).(a) What type of design is this experiment? (b) The treatments are (c) The score of the memory test is the ? (d) The study finds that the group of students who drink…arrow_forward
- Do people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was billed as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack. The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger). Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.)…arrow_forwardReflexology and Breast Cancer cancer. Prior to the study, each patient was asked to identify a friend or family member (called the caregiver) who was willing to learn how to deliver a foot reflexology treatment and perform the treatment at least once per week A recently published journal article describes a study conducted by MSU researchers. The researchers recruited 256 women living in the Midwest who were undergoing treatment for breast for four weeks. At the beginning of the study, all 256 patients were interviewed by trained data collectors via telephone. Data collectors recorded the age, race, ethnicity, level of education, employment income, and their relationship to their caregiver. They also recorded responses to questions evaluating their depressive symptoms and the severity of 13 medical symptoms such as pain, fatigue, nausea, dry mouth, etc. Symptoms were rated as mild, moderate, or severe. After the first interview, half of the patients were randomly assigned to receive…arrow_forwardA researcher is interested in studying the effects of altitude on cognitive performance (e.g., perception, memory, problem solving, etc.). The researcher finds a group of experienced mountain climbers (n = 10) who volunteer to participate in the study. All of the climbers are tested at three different altitudes—at sea level (in the researchers’ laboratory at the University of California, San Diego), at the base camp (9,000 feet above sea level), and at 23,000 feet above sea level (at the peak of Mt. Denali in Alaska). At each location, the climbers perform a memory task (remember a list of 16 non-words like “biv”), and the accuracy of their memory is recorded (i.e., # of correctly recalled words). a. pls name the independent variable, dependent variable, levels of the IV, and the type of experiment design of this study (i.e., b/w- or w/i-subject design ) b. on what level of measurement is accuracy of memory assessed? (i.e., is it on nominal, ordinal, interval, or ratio?arrow_forward
- A researcher is interested in the effect of listening to music on knowledge acquisition. She randomly selects 82 students from her Introduction to Psychology course to participate. Half of the selected students is asked to listen to music of their choice while studying for an exam and the other half is asked not to listen to any music while studying. After the exam, she computes the exam scores and obtains results presented below. Can the researcher conclude that there is an effect of listening to music on knowledge acquisition? Conduct the appropriate statistical test (two-tailed) with a = .05. Music group (m) X = 97.3 m S = 9.0 m Which of the following are critical values for the analysis? 12.000| |1.960| |1.990| 11.660| No music group (nm) X S nm nm = 93.1 = 10.0arrow_forwardA researcher is interested in the effect of listening to music on knowledge acquisition. She randomly selects 82 students from her Introduction to Psychology course to participate. Half of the selected students is asked to listen to music of their choice while studying for an exam and the other half is asked not to listen to any music while studying. After the exam, she computes the exam scores and obtains results presented below. Can the researcher conclude that there is an effect of listening to music on knowledge acquisition? Conduct the appropriate statistical test (two-tailed) with a = .05. Music group (m) X = 97.3 m s 9.0 m No music group (nm) Based on the statistical evidence, can it be claimed that there is an effect of listening to music on knowledge acquisition? No Yes X = 93.1 nm S nm = 10.0arrow_forwardA researcher is interested in studying the effects of altitude on cognitive performance (e.g., perception, memory, problem solving, etc.). The researcher finds a group of experienced mountain climbers (n = 10) who volunteer to participate in the study. All of the climbers are tested at three different altitudes—at sea level (in the researchers’ laboratory at the University of California, San Diego), at the base camp (9,000 feet above sea level), and at 23,000 feet above sea level (at the peak of Mt. Denali in Alaska). At each location, the climbers perform a memory task (remember a list of 16 non-words like “biv”), and the accuracy of their memory is recorded (i.e., # of correctly recalled words). a. pls name the independent variable, dependent variable, levels of the IV, and the type of experiment design of this study (i.e., b/w- or w/i-subject design ) b. on what level of measurement is accuracy of memory assessed? (i.e., is it on nominal, ordinal, interval, or ratio?) View…arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
Calculus For The Life Sciences
Calculus
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:Pearson Addison Wesley,
Graph Theory: Euler Paths and Euler Circuits; Author: Mathispower4u;https://www.youtube.com/watch?v=5M-m62qTR-s;License: Standard YouTube License, CC-BY
WALK,TRIAL,CIRCUIT,PATH,CYCLE IN GRAPH THEORY; Author: DIVVELA SRINIVASA RAO;https://www.youtube.com/watch?v=iYVltZtnAik;License: Standard YouTube License, CC-BY