Data have been accumulated on the heights of children relative to their parents. Suppose that the probabilities that a tall parent will have a tall, medium-height, or short child are 0.5, 0.3, and 0.2, respectively; the probabilities that a medium-height parent will have a tall, medium-height, or short child are 0.2, 0.6, and 0.2, respectively; and the probabilities that a short parentwill have a tall, medium-height, or short child are 0.2, 0.3, and 0.5, respectively.(a) Write down the transition matrix for this Markov chain. (Order rows by tall first, medium second, and short third.).5.3.226.2.23.5(b) What is the probability that a short person will have a tall grandchild?X(c) If 30% of the current population is tall, 30% is of medium height, and 40% is short, what will the distribution be in three generations?(d) What proportion of the population will be tall, of medium height, and short in the long run?

As per guidelines,we are supposed to solve first 3 subparts only.

Answered: Data have been accumulated on the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A company is introducing a new product into the market. If the sales are high, there is a 0.6 probability that they will remain so next month. If they are not, the probability that will become high next month is only 0.1. The company has the option of launching an advertisement campaign. If it does and the sales are high, the probability that they will remain high next month will increase to 0.7. On the other hand, an advertising campaign while the sales are low will raise the probability to only 0.3. If no advertisement is used and the sales are high, the returns (in thousands of dollars) are expected to be 9 if the sales remain high next month and 3 if they do not. The corresponding returns if the product starts with low sales are 6 and -3. Using advertisement will result in returns of 8 if the product starts with high sales and continues to be so and 5 if it does not. If the sales start low, the returns are 4 and -6, depending on whether or not they remain high. Compute the…
Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.25; P(H) = 0.3; P(H AND G) =0.1. Using this information: Find P(H OR G). Type answer with 0 in front of decimal to 2 places. If answer is like .2, type 0.2 not .2 or 0.20.
A rice importer has three sources: Thailand, Vietnam, and China. Unfortunately, the annual amount of rice harvested is heavily dependent upon the amount of rainfall during the growing season. The tables below show probabilities and prices for wet, dry, and normal growing seasons. Rice is sold in tons. PROBABILITIES Wet Dry Normal Thailand 0.5 0.2 0.3 Vietnam 0.6 0.3 0.1 China 0.4 0.4 0.2 Price per Pound ($) Wet Dry Normal Thailand 0.95 1.10 1.00 Vietnam 0.85 1.20 0.98 China 0.90 1.15 1.05 Which country offers the best rice price?
A company is introducing a new product into the market. If the sales are high, there is a 0.6 probability that they will remain so next month. If they are not, the probability that will become high next month is only 0.1. The company has the option of launching an advertisement campaign. If it does and the sales are high, the probability that they will remain high next month will increase to 0.7. On the other hand, an advertising campaign while the sales are low will raise the probability to only 0.3. If no advertisement is used and the sales are high, the returns (in thousands of dollars) are expected to be 9 if the sales remain high next month and 3 if they do not. The corresponding returns if the product starts with low sales are 6 and -3. Using advertisement will result in returns of 8 if the product starts with high sales and continues to be so and 5 if it does not. If the sales start low, the returns are 4 and -6, depending on whether or not they remain high. Obtain the…
A manufacturing company is faced with the problems of choosing four products to manufacture. The potential demand for each product may turn out to be good, satisfactory, or poor. Probabilities for each type are given below: Products Probabilities Good Satisfactory Рoor A 0.60 0.20 0.20 В 0.75 0.15 0.10 C 0.60 0.25 0.15 D 0.50 0.20 0.30 The estimated profit/loss under different states of demand may be taken as under. uct Profit or Loss Good Satisfactory Poor A 40,000 10,000 1,100 40,000 20,000 |-7,000 C 50,000 15,000 |-8,000 D 40,000 18,000 15,000 Prepare expected value table and advice the company about the choice of the product.
A circuit operates as long as there is a functional path, which does not include any dysfunctional (broken) switches on its path, between 1 and 2. The probabilities that the switches A, B, and Y are not functioning or broken (Failure, F) are 12%, (22)%, and (13)%, respectively (as shown in the figure below). The switches function independently. What is the probability that the circuit operates successfully (Success, S) from 1 to 2?
A circuit operates as long as there is a functional path, which does not include any dysfunctional (broken) switches on its path, between 1 and 2. The probabilities that the switches A, B, and Y are not functioning or broken (Failure, F) are 12%, (20+I)%, and (10+H)%, respectively (as shown in the figure below). The switches function independently. What is the probability that the circuit operates successfully (Success, S) from 1 to 2? H is 3 and I is 2
Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here. O 0.159 O 0,259 0 0.448 O 0,741 Save and Exit Next Submit Math and rem 96 & 7 8 9. 10
At the beginning of each day, a patient in the hospital is classifed into one of the three conditions: good, fair or critical. At the beginning of the next day, the patient will either still be in the hospital and be in good, fair or critical condition or will be discharged in one of three conditions: improved, unimproved, or dead. The transistion probabilities for this situation are Good Fair Critical Good 0.65 0.20 0.05 Fair 0.50 0.30 0.12 Critical 0.51 0.25 0.20 Improved Unimproved Dead Good 0.06 0.03 0.01 Fair 0.03 0.02 0.03 Critical 0.01 0.01 0.02 For example a patient who begins the day in fair condition has a 12% chance of being in critical condition the next day and a 3%…
1. The picture's river has floodgates at points A, B, C and D. The probabilities of each of the floodgates being open (a requirement for water to pass through) are the following: A: 94%, B : 96%, C: 91%, D: 97% The probabilities of the floodgates being open are independent. What is the probability that the water from the leftmost point in the picture will reach the sea on the right? C D B THE SEAL
Suppose that on any given day, there is a 20% chance that Lebron has a bad day, a 50% day that Lebron has a so-so day, and a 30% chance that Lebron has a good day. On a bad day, the probability that Lebron makes any given 3-point shot is 0.5. On a so-so day, the probability that Lebron makes any given 3-point shot is 0.7. On a good day, the probability that Lebron makes any given 3-point shot is 0.9. Suppose that tomorrow, Lebron takes a 3-point shot, and we record whether he hits or misses and what kind of day he was having. What is the probability that Lebron hits? What is the probability that if Lebron is having a bad day given that he misses a shot that day?
The accidents that occur in a manufacturing company were classified by severity (strong, moderate and mild) and by sex with the following characteristics: 40% of the accidents were strong and 30% were moderate. Women suffered 20% of the accidents. Of the total number of serious accidents, men suffered 85.5% of the accidents. Similarly, of the total moderate accidents, women suffered 45% of the accidents. Calculate the following probabilities:- If a woman suffered an accident, what is the probability that it was minor?- If a man suffered an accident, what is the probability that he is strong?

SEE MORE QUESTIONS

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS