At a particular two-year college, a student has a probability of0.39 of flunking out during a given year, a 0.08 probability ofhaving to repeat the year, and a 0.53 probability of finishing theyear. Use the states shown to the right to complete parts (a)through (c) below.(a) Write a transition matrix. Find F and FR.P=(Type an integer or decimal for each matrix element.)State1234MeaningFreshmanSophomoreHas flunked outHas graduatedF =(Type an integer or decimal for each matrix element. Round to three decimal places as needed.)FR=(Type an integer or decimal for each matrix element. Round to three decimal places as needed.)(b) Find the probability that a freshman will graduate.The probability that a freshman will graduate is(Type an integer or decimal rounded to three decimal places as needed.)(c) Find the expected number of years that a freshman will be in college before graduating or flunking out.The expected number of years is.(Type an integer or decimal rounded to three decimal places as needed.)

Answered: Image /qna-images/answer/21b32e1f-e87f-4c95-b905-7df1e797440c.jpg

Answered: At a particular two-year college, a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Each week a student can be either up-to-date or behind. If the student is up-to- date, then the probability of staying up to date is 0.8, otherwise the student falls behind. If the student is behind, then the student will be up-to-date next week with probability 0.6. n-step transition matrix rij (1) = [.8 2 .4] O 0.6×0.8+.2× и
Every day a school bus driver passes the same traffic light twice, once before school and once after. Each time he passes the light, he records if it is red, green, or yellow. Here is a summary of the data he got after 200 days. Traffic light before school red red red green green green yellow yellow yellow Traffic light after school red green yellow red green yellow red green yellow Number of days 25 38 12 34 36 11 16 13 15 Suppose the driver will continue recording the colors for 150 more days. In how many of these 150 days will the light be yellow exactly once? Use the data to make a prediction.
Exchange Rates The table below gives the exchangerates from U.S. dollars to euros and Japanese yen forthe years 2000 and 2015.a. Assuming the fee for exchanging dollars to theseunits reduces the national currency returned perU.S. dollar by 5%, place the data in a matrix anduse a matrix operation to find the currency unitsactually returned per dollar. b. Which of these two currencies has increased invalue during this period?
Suppose in a scatterplot matrix, you observe that all of the scatterplots associated with the explanatory variables show a strong linear relationship. There are three explanatory variables in the model. Of the following, which is the most valid to do? Remove the response variable. Remove only one of the explanatory variables and keep only two. Remove all of the explanatory variables because they are linearly related to each other and therefore explain the same thing. Remove exactly two of the explanatory variables because they are all linearly related to each other and therefore explain the same thing. We only need to keep one in the model.
edo exercises 17 and 18 in section 8.1 of your textbook, about the small animal who lives in an area with woods and meadows, using the following data:If the animal is in the woods on one observation, then it is twice as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is three times as likely to be in the meadows as the woods on the next observation.Assume that state 1 is being in the meadows and that state 2 is being in the woods.(1) Find the transition matrix for this Markov process. (2) If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations? (3) If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations?
A car rental service in a certain town has a fleet of about 600 cars, at three locations. A car rented at one location may be returned to any of the three locations. The various fractions of cars returned to the three locations are shown in the matrix to the right. Suppose that on Monday there are 295 cars at the airport (or rented from there), 65 cars at the east side office, and 240 cars at the west side office. What will be the approximate distribution of cars on Wednesday? Cars Rented From: Airport East West 0.95 0.03 0.12 0.00 0.94 0.06 0.05 0.03 0.82 Returned To: Airport East West On Wednesday, 274 cars will be at the airport, 52 cars will be at the East location, and 274 cars will be at the West location. (Round to the nearest integer as needed.)
A matrix with the same number of rows and columns is called a __________ matrix.
2. Find the adjacency matrix for the following graph. d G7

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS