Describe the fish experiment with                                       P(n+1)=P(n)+0.4*(1-P(n))*P(n)     Find fixed points (attracting or repelling),and compute P(n+1) if P(n)=4

Q: 2. One leading company has developed what it hopes will be a home expresso machine that will have…

A: a) Parameter of interest: Here, the testing is based on the percentage of customers succeed at being…

Q: 2. If the member functions of a Gaussian process are uncorrelated, then they are independent.

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Q: 5. Consider a multiple linear regression model of y on x, and x2, y = Bo + B1x1 + B2x2 +u, where u…

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Q: 1. a) Use Gauss Seidel Method with X©)=[0 0 0 0] to approximate the solution to the given linear…

A: Solution of a: The given system is -x1-x2+5x3+x4=0 4x1+x2-x3+x4=-2 x1+4x2-x3-x4=-1 x1-x2+x3+3x4=1

Q: 3. (a) Find the nonnegative equilibria of a population governed by 3x In+1 = x +2 and check for…

A: *Answer:

Q: 2. A surplus process has a compound Poisson claims process with 2 = 19, fx(1) = 0.25 and fx(2) =…

A: Given that a surplus process has a compound Poisson claims process with λ=19. fx1=0.25 and fx2=0.75

Q: 2. The Hamiltonian operato represented as

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: What is the simple random walk on integers? Does it always return to the origin if p = ½ ? if p ≠ ½?

A: Lets consider the one step Simple random walk with zero as an Origin.

Q: Q. Q what is the Gauss Markou assomption lying theore Classical in the

A: Gauss Markov Theorem: Under the assumptions of the Gauss-Markov Model,  y=Xb+e, Where  Ee=0 and…

Q: Example 10: Show that the random process X (t) = A elat is WSS if and only if E [A] = 0. %3D

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Q: Obtain sufficient estimators of theta based on a random sanple of size n drawn from the pdf f(x,…

A: Given that,  f(x,θ) = e-(x-θ), x≥θ, θ>00, otherwise

Q: In solving IVP numerically, Euler method gives high accuracy with large step-size h. Select one: O…

A: For Euler's method, the error made in one step is called the local truncation error or LTE . It is…

Q: A Gaussian random process X(t) is applied to a stable linear filter. Show that the random process…

A:

Q: 1. Consider the thresholded AR(1) process J01a1-1 + wi if ai-1 < 0 01xt-1 02x1-1+ wi if x-1 20 where…

A: Given the threshold AR(1) process xt=θ1xt-1+wt     if  xt-1&lt;0θ2xt-1+wt     if  xt-1≥0 where wt is…

Q: Suppose X has Pareto distribution with 0 = 1 and a = 1.5 (a) Find P(X > 2). (b) Estimate P(x > 2)…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: c) With a = 0 and b = 1, use Markov's inequality to derive a bound on Pr(Sn > n). Comment on your…

A: Given that Xi follows Uniform(a = 0, b = 1) and they are iid.

Q: Example 15: Consider a random process X, (t) = A X (t) cos (@e t + 0) where X (t) is zero mean,…

A:

Q: Use the Euler algorithm with a step size h = 0.2 to find an approximate value of y,, for the linear…

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Q: At any given time, a subatomic particle can be in one of two states, and it moves randomly fro state…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Use the Euler algorithm with a step size h = 0.2 to find an approximate value of y, for the linear…

A:

Q: 1. Reduce the Neumann problem to the Dirichlet problem in the two- dimensional case.

A: The given problem is to convert the Neumann problem to Dirichlet problem in the two dimensional…

Q: Example 6: Consider a random process X (t) whose mean is zero and Ryx (t) = A 8 (t). Show that the…

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Q: (d) Fourth-order Runge-Kutta (RK) method with h = 0.5.

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Q: Use the Euler algorithm with a step size h = 0.2 to find an approximate value of y10 for the linear…

A:

Q: If n is 30 and p is 0.04. using the Poisson approximation to the Binomial, the P(X < 2) is equal to…

A: Givenn=30p=0.04

Q: What is the difference between Gaussian elimination and Gauss-Jordan elimination?

A: We have to find  the difference between Gaussian elimination and Gauss-Jordan elimination.

Q: A taxi company has a small limousine at the local airport with a seating capacity of four that makes…

A: Probability is a branch of mathematics or statistics which basically deals with the chances of…

Q: 1. If a Gaussian process is wide-sense stationary, it is also strict-sense stationary.

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Q: (c) Manipulating the forward Euler method written for the step sizes h, h/2, and h/3, apply…

A: As per the question we have to find an extrapolation formula to numerically calculate the…

Q: Consider a particle in a box of length L with one end coinciding with the origin. It is frequently…

A: Consider a particle in a box of length L and n = 1, then,  ψ1 = 2L sin πxL Now, consider an another…

Q: 3.9 Suppose that the second-order system i = f(x), with a locally Lipschitz f(x), has a limit cycle.…

A: Given that the second-order system x˙=f(x), with a locally Lipschitz f(x), has a limit cycle. To…

Q: The number of customers arriving at a bank between 11:00 a.m. and 3:00 p.m. follows a Poisson law…

A: Given : The number of customers arriving at a bank follows a Poisson distribution λper hour = 20

Q: A certain market has both an express checkout line and a superexpress checkout line. Let X, denote…

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Q: Obtain the autocorrelation for an ideal low pass stochastic process.

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Q: Example 10: Show that the random process X (t) = A elat is WSS if and only if E [A] = 0.

A:

Q: Let {N_1(t)} and {N_2(t)} be two independent  Poisson processes with rates λ1=1 and λ2=2,…

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Q: (4) If two random processes X(1) and Y(t) are statistically independent and are atleast wide sense…

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Q: (b) Figure Q4b, shows a graph of the function y = 2x³ between the limits 0-3. (x − axis) and 0 - 60…

A: solution

Q: (1) v2T V2ㅠ 21+ e-2 eTaz 0003 1 •.. v2ㅠ 32+을 e-3 eTds 0|00|1 (2) 32+ e-3 e 12-3 .. (3) V2T 43+3 e-4…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 3.9 Suppose that the second-order system i = f(x), with a locally Lipschitz f(z) has a limit cycle.…

A: Given That :  The second order system is: x˙=f(x) with a locally Lipschitz f(x) has a limit cycle.…

Q: Q1 Show that the simple random walk with p < visits only finitely many states on the positive axis.

A: Given that the simple random walk with p&lt;12 visits only finitely many states on the positive…

Q: Use the Euler algorithm with a step size h = 0.2 to find an approximate value of yn for the linear…

A: Here we assume f(x,y)=sin(x)-y  Then f(0,1)=sin(0)-1=0-1=-1 etc.

Q: Q1 Show that the simple random walk with p< visits only finitely many states on the positive axis.

A: Given that the simple random walk with p&lt;12 visits only finitely many states on the positive…

Q: (0) = 0 are (0) Q3: Iteration 2 by Gauss-Seidel iteration method, where x₁ = x₂ =X3 -2x1 + 7x2+2x3 =…

A:

Q: The objective of this article is to investigate some alitative behavior of the solutions of the…

A: In this question, the explanation of the step of how the equation is derived is done. P-QA+1-B+C+D=0

Q: Define the random process {Xt} by Xt = et + θ et−1. Show this process is weakly stationary.

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Q: Let X be a continuous random variable with P(X 3µ) < by the Markov's inequality. What is (a) ?

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.