COLLEGE GRADUATION RATE: The registrar of Computronics Institute has compiled the following statistics on the progress of the school's students in the
a. Construct the transition matrix associated with this Markov process.
b. Compute the steady-state matrix.
c. Determine the probability that a beginning student enrolled in the program will complete the course successfully.
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Chapter 9 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences
- The management of a university did a survey on students’ hobbies. They found that 5% of the students interviewed enjoy neither reading nor playing computer games, 60% enjoy playing computer games but not reading, and 15% enjoy both reading and playing computer games.(a) Determine the percentage of the students interviewed who enjoy reading.(b) Determine the percentage of the students interviewed who enjoy reading or playingcomputer games.(c) If a student interviewed enjoys reading, what is the probability that this student willalso enjoy playing computer games?arrow_forwardThe sales manager of a large automotive parts distributor wants to estimate the total annual sales for each of the company’s regions. Five factors appear to be related to regional sales: the number of retail outlets in the region, the number of automobiles in the region registered as of April 1, the total personal income recorded in the first quarter of the year, the average age of the automobiles (years), and the number of sales supervisors in the region. The data for each region were gathered for last year. For example, see the following table. In region 1 there were 1,739 retail outlets stocking the company’s automotive parts, there were 9,270,000 registered automobiles in the region as of April 1, and so on. The region’s sales for that year were $37,702,000. constant outlet automobile reg income age bosses 37.702 1,739 9.27 85.4 3.5 9 24.196 1,221 5.86 60.7 5 5 32.055 1,846 8.81 68.1 4.4 7 3.611 120 3.81 20.2 4 5 17.625 1,096 10.31 33.8 3.5 7 45.919 2,290 11.62 95.1…arrow_forwardA particular magazine identified the top accounting firms in 8 geographic regions across a certain country. Even though all 8 regions reported growth in the past year, region A and region B reported the highest combined growths, with 17% and 25%, respectively. A characteristic description of the accounting firms in these regions included the number of partners in the firm. The accompanying table contains data on the number of partners. Complete parts (a) through (d) below. E Click on the icon to view the data table. IMPORTANT NOTE: In all of these questions, there are 2 possible ratios A/B and B/AI Our convention is to always assume that the larger variance is in the numerator (i.e., on top). The correct answer will always be found in this fashion. Similarly, in questions about a critical value, we shall consider the right (upper) tail. a. At the 0.01 level of significance, is there evidence of a difference in the variability in numbers of partners for region A accounting firms and…arrow_forward
- Urgent Care is organized in to 4 department: Registration (Reg), Waiting (Wait), Treatment (Treat), and Payment & Check Out (PCO). For all patients who receive treatment at the Urgent Care, the expected time (in minutes) per patient needed in each of the departments: Reg. Wait. Treatment PCO 10 15 30 3 or 2 All patients enter and register at the registration cubicle. After registering, 10% of the patients walk out without waiting and seeing the physician for treatment. However, still they have to walk through the PCO & return the admissions slip. These patients need only 2 min at PCO (instead of 3 min). No waiting and treatment time for patients who walk out. Simulate the total time spent in the Urgent care for the first patient. Total time spent by Patient 1 at the Urgent Care is . RN: 0.05 Hint: Need to check (simulate) whether a patient, after registering( 10 min), walks out or not. O 2 min O 12 min O 10 min O None of thesearrow_forwardUrgent Care is organized in to 4 department: Registration (Reg), Waiting (Wait), Treatment (Treat), and Payment & Check Out (PCO). For all patients who receive treatment at the Urgent Care, the expected time (in minutes) per patient needed in each of the departments: Reg. Wait. Treatment PCO 10 15 30 3 or 2 All patients enter and register at the registration cubicle. After registering, 10% of the patients walk out without waiting and seeing the physician for treatment. However, still they have to walk through the PCO & return the admissions slip. These patients need only 2 min at PCO (instead of 3 min for the patients receiving treatment). No waiting and treatment time for patients who walk out. Simulate the total time spent in the Urgent care for the second patient. Total time spent by Patient 2 at the Urgent Care is: . RN: .55 A. 58 B.57 C.2 D. None of thesearrow_forwardUrgent Care is organized in to 4 department: Registration (Reg), Waiting (Wait), Treatment (Treat), and Payment & Check Out (PCO). For all patients who receive treatment at the Urgent Care, the expected time (in minutes) per patient needed in each of the departments: Reg. Wait. Treatment PCO 10 15 30 3 or 2 All patients enter and register at the registration cubicle. After registering, 10% of the patients walk out without waiting and seeing the physician for treatment. However, still they have to walk through the PCO & return the admissions slip. These patients need only 2 min at PCO (instead of 3 min for the patients receiving treatment). No waiting and treatment time for patients who walk out. Simulate the total time spent in the Urgent care for the second patient. Total time spent by Patient 2 at the Urgent Care is: RN: 55 O 58 O 57 O 2 min O none of thesearrow_forward
- Each year U.S. News and World Report conducts its "Survey of America's Best Graduate and Professional Schools." and ranks the top 25 business schools, as determined by reputation, student selectivity, placement success, and graduation rate. For each school, three variables were measured: (1) GMAT score for the typical incoming student; (2) student acceptance rate (percentage accepted of all students who applied); and (3) starting salary of the typical graduating student. An academic advisor wants to predict the typical starting salary of a graduate at a top business school using GMAT score of the school as a predictor variable. The results of a simple linear regression of SALARY versus GMAT using the 25 data points are shown below. Is there sufficient evidence to suggest there is a linear relationship between SALARY and GMAT at the 5% level of significance? ----------------------------------------------------------------------------------- a = -92040 b = 228 s = 3213 r2 = .66 r =…arrow_forwardAJ’s sleep pattern had been fluctuating due to stress and diet, so he started to keep a diary of how many hours he slept each night. On the 4th night after he started the diary, AJ slept 9.4 hours, which was the most sleep he got any night. Gradually, he got less sleep each successive night until, on the 18th night after he started the diary, AJ slept 6.2 hours, which was the least sleep he got any night. After keeping his diary for 6 months, he realized that the number of hours he got each night followed a sinusoidal curve. Let t be the number of nights since he started his diary, and s be how many hours he slept that night. It may be helpful to draw a crude sketch of the sleep time function and label the known t − and s − values on it. POSITIVE or NEGATIVE SIN or COS Maximum s − value = Minimum s − value = ______________ ______________ Middle s − value = ______________ = D Amplitude = ______________ = A ⇒ B = ______________ Given the crude sketch of the height function, the…arrow_forwardGive at least three examples from economics where each of the following type of data can be used: cross-sectional data, time series data, and panel data.arrow_forward
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