(a) Explain in words what the fact that p32 = 0 means about this disease.(b) The model is changed by giving p14 and P34 small positive values (and reducingP11 and p33 to keep the row sums equal to 1). What new feature does thismodel include?(c) The model is changed by giving p13 a positive value (and reducing p₁ to keepthe row sum equal to 1). What new feature does this model include?(d) The model is changed by giving p32 a positive value which is less that 0.01(and reducing P33 to keep the row sum equal to 1). What new feature does thismodel include?(e) Interpret the Markov property and the fact that p2,3 = 0.1 in words. 1. During a pandemic, a person's state of health is monitored by recording each daywhether they are• Healthy and have never been infected by the disease (state 1)• Infected with the disease (state 2)• Recovered from a previous infection of the disease (state 3)• Dead (state 4)Suppose that X is the state of health of a particular person on day t of the pandemicand that (Xo, X₁,...) is a Markov chain with transition matrix:0.99 0.01 0 000.899 0.10.00100100001

The provided transition matrix models the progression of a disease through a population, tracking…

Answered: (a) Explain in words what the fact that…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...

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1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2
An ecologist is considering two different positions in which to setup his solar energy collector. He takes two identical collector places one in each of the positions and measure the energy in at collected as 10 consecutive days. Days 1 2 3 4 5 6 7 8 9 10 Position X 2.6 5.4 3.2 5.0 4.3 2.7 2.6 3.9 6.0 1.6 POSITION y 2.8 5.1 3.1 6.0 4.6 3.2 2.9 4.5 6.2 2.2 Test whether the difference of mean is significance ? what will be the answer
600L tank initially has 100L saltwater with 20g salt dissolved. In flows 3L/min saltwater with [salt]=2g/L, Outflow of the mixture at (salt]=Q/V has rate 4L/min. Write the IVP for Q(t)= quantity of salt in the mixing tank. 20 3Q 100 4t 20 dt 100 100 dt 600 t 600 100 4t dt
Suppose we want to predict job performance of Chevy mechanics based on mechanical aptitude test scores and test scores from personality test that measures conscientiousness. mech aptitude conscientiousness job performance x1 x2 y 40 25 1 45 20 2 38 30 1 50 30 3 48 28 2 55 30 3 53 34 3 55 36 4 58 32 4 40 34 3 55 38 5 48 28 3 45 30 3 55 36 2 60 34 4 60 38 5 60 42 5 65 38 5 50 34 4 58 38 3 Please use excel to find a line to minimize the absolute deviation. It is fine if you do not need to write down the formulation, but please print out the excel solutions and find the coefficients a1,a2, b of the line:y= a1 x1+ a2 x2+ b
Suppose that we have two independent data sets from the same process. One was collected in the past and another was collected recently. The observations are: {(r;; Yi), i = 1, n1} and {(r;, Yi), i = n1 + 1, .. , n1 + n2}. The two models are postulated to be 2. Yi ao + a1x; + Ei, i = 1, . . , n1, %3D = Bo + B1x; + Ei; i = n1 +1,,n, where n = nị + n2. a) Express these separate models as a single model in matrix form. b) Find A and c for testing Ho : a1 =
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4. Let (, F, P) be a probability space and let X and Y be random variables on it. Assume that the random variable X takes on value 0 and 1, and the distribution of X is given by Px (0)=0.3, Px(1) = 0.7. Further assume that the random variable Y takes on value 0 and 1, and the distribution of Y is given by Py (0)=0.8, Py(1) = 0.2. (i) Assume that the random variables X and Y are independent. Find the joint distribution of X and Y, Px,y. [5 Marks] (ii) Give an example of a possible joint distribution Px,y such that the random variables X, Y are not independent. [15 Marks] Hint. Denote Px,y (0, 0) = = a, Px,y (0, 1) = b, Px,y(1, 0) = = C, Px,y (1, 1) = = d. We must have (why?) a, b, c, d = [0, 1], a+b+c+d= 1, a+b= 0.3, a+c=0.8. Choose a, b, c, d satisfying the above conditions and such that a 0.24.
3.33 Let 2 -1 0 4 3 -1 1 6 1 -3 -4 1 A = and В -3 1 2 1 -4 3 0 0 1 1 -1 -1 1 | Find Err(A, B) and PSNR(A, B).
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