A female population of possums in a neighborhoodis divided in 4 categories: newborn, young, mature, and old.The following is the Leslie matrixthat gives the population distribution after a year:5320.80.30.5 0Suppose that you start with a population of (10, 8, 5, 3) (10 newborn, 8 young, 5 mature, 3 old),Given the number of mature possum in year 2 and year 3. Give the percentage of distributionof the population in the 4 categories in the long term. You need to explain your work

Answered: Image /qna-images/answer/6ffe90f4-497e-454e-ba7e-a61f3d4ac5fc.jpg

Answered: divided in 4 categories: newborn,…

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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A Leslie matrix is given below with the usual age groups, 0 year old (0-1), 1 year olds (1-2), etc. 0 3.5 01 0.8 0 0 0 0.2 0 Compute the population in years 1 and year 2 when the initial population has 100 newborns, 60 one-year- olds and 20 two-year-olds. X₁ X₂ 000
Consider the following design matrix: LEVEL OF ANXIETY Medium Low High GENDER Male Female Male Female Male Female Young AGE Old How many independent variables are being tested in this study? 01 3. 04 O 12 OOO
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A Leslie matrix is given below with the usual age groups, 0 year old (0-1), 1 year olds (1-2), etc. 0 2.5 07 0.6 0 Lo 0.4% Compute the population in years 1 and year 2 when the initial population has 100 newborns, 60 one-year- olds and 40 two-year-olds. X₁ =
a) Interpret the numbers for a company that starts with a rating of Aa b) Assume that the rating changes in successive time periods are independent; calculate the transition (sample) matrix for two years
2
Question 1. JoJo Mobile sells data plans for cellphones. They sell Individual Plans as well as Family Plans. Market analysts at JoJo Mobile have noticed that customers tend to switch between the two plans each year. . Among the customers with an individual plan, 30% switch to a family plan the next year. . Among the customers with a family plan, 20% switch to an individual plan in the next year. This information can be encoded into a 2 x 2 matrix, as follows: [0.7 0.2] [0.3 (a) Compute the vector P-¹ (b) The vector P³ 3 740 650 400 600 P = 0.3 0.8 and give a physical interpretation of what this vector represents. and give a physical interpretation of what this vector represents. (c) An eigenvector for P with eigenvalue λ = 1, and give a physical interpretation of what this vector represents. (d) An eigenvector for P with eigenvalue > < 1. Explain why the eigenvector does not have a physical interpretation.
Given the Leslie matrix below, what is the population size after 2 timesteps given the starting population size of J= 10, T=10, A=100? Round to nearest whole number. J T A J 0.5 0.5 3.0 T 0.2 0 A O 0.2 0 O a. J=162; T=62; A=1 O b. J=10; T=10; A=100 O c. J=200; T=25; A=5 O d. J=310; T=2; A=3
Find the rank of the following matrix. 10 4 25.01 5 10 Possible Answers: Rank = 4 Rank = 0 Rank = 3 Rank = 2 Rank - 1
Consider the following design matrix: LEVEL OF ANXIETY Low Medium High GENDER Male Female Male Female Male Female Young AGE Old How many independent variables are being tested in this study? 1 2 4. 12
6. For the given matrix M, shown below, find M. Please show your work and do not use the graphing calculator. M%3= 1 ftiokot prices 55
The table below shows salaries for full time teachers at a school district based on their education level and experience. Masters $43,979 $46,940 $49,901 Bachelors Experience <5 yrs 5-10 yrs $42,304 $45, 265 $48,226 10+ yrs The District Office wonders whether it makes more financial sense to give a 1% salary increase or a flat $300 salary increase for all employees. Complete the matrix that shows the difference between the percentage and flat rate raises. (Round to the nearest whole number)

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