EBK MATLAB: AN INTRODUCTION WITH APPLIC
5th Edition
ISBN: 8220102007642
Author: GILAT
Publisher: YUZU
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Chapter 9, Problem 11P
To determine
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A MATLAB code that finds the angle
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a. Find the value of A.b. Find pX(x) and py(y).c. Find pX|y(x|y) and py|X(y|x)d. Are x and y independent? Why or why not?
The PDF of an amplitude X of a Gaussian signal x(t) is given by:
The PDF of a random variable X is given by the equation in the picture.
Chapter 9 Solutions
EBK MATLAB: AN INTRODUCTION WITH APPLIC
Ch. 9 - Prob. 1PCh. 9 - Determine the solution of the equation 2cosx0.5x=1...Ch. 9 - 3. Determine the solution of the equation .
Ch. 9 - 4. Determine the solution of the equation .
Ch. 9 - 5. A box of mass m = 25 kg is being pulled by a...Ch. 9 - 6. A scale is made of two springs, as shown in the...Ch. 9 - An estimate of the minimum velocity required for a...Ch. 9 - 8. The diode in the circuit shown is forward...Ch. 9 - 9. Determine the minimum and the maximum of the...Ch. 9 - A paper cup shaped as a frustum of a cone with...
Ch. 9 - 11. Consider again the block that is being pulled...Ch. 9 - 12. Determine the dimensions (radius r and height...Ch. 9 - 13. Consider the ellipse. Determine the sidesa...Ch. 9 - 14. Planck’s radiation law gives the spectral...Ch. 9 - A 108-in.-long beam AB is attached to the wall...Ch. 9 - 16. Use MATLAB to calculate the following...Ch. 9 - 17. Use MATLAB to calculate the following...Ch. 9 - 18. The speedofarace carduring the first seven...Ch. 9 - 19. The shape of the centroid line of the Gateway...Ch. 9 - The flow rate Q (volume of fluid per second) in a...Ch. 9 - 21. The electric field E due to a charged circular...Ch. 9 - Prob. 22PCh. 9 - The variation of gravitational acceleration g with...Ch. 9 - 24. A cross section of a river with measurements...Ch. 9 - Prob. 25PCh. 9 - Prob. 26PCh. 9 - Prob. 27PCh. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Use a MATLAB built-in funtion to numerically...Ch. 9 - The growth of a fish is often modeled by the von...Ch. 9 - A water tank shaped as an ellipsoid (a = 1.5 m, b...Ch. 9 - The sudden outbreak of an insect population can be...Ch. 9 - An airplane uses a parachute and other means of...Ch. 9 - Prob. 37PCh. 9 - An RL circuit includes a voltage source vs, a...Ch. 9 - Prob. 39PCh. 9 - The velocity, v, of an object that falls freely...
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- For a binary asymmetric channel with Py|X(0|1) = 0.1 and Py|X(1|0) = 0.2; PX(0) = 0.4 isthe probability of a bit of “0” being transmitted. X is the transmitted digit, and Y is the received digit.a. Find the values of Py(0) and Py(1).b. What is the probability that only 0s will be received for a sequence of 10 digits transmitted?c. What is the probability that 8 1s and 2 0s will be received for the same sequence of 10 digits?d. What is the probability that at least 5 0s will be received for the same sequence of 10 digits?arrow_forwardV2 360 Step down + I₁ = I2 10KVA 120V 10KVA 1₂ = 360-120 or 2nd Ratio's V₂ m 120 Ratio= 360 √2 H I2 I, + I2 120arrow_forwardQ2. [20 points] An amplitude X of a Gaussian signal x(t) has a mean value of 2 and an RMS value of √(10), i.e. square root of 10. Determine the PDF of x(t).arrow_forward
- In a network with 12 links, one of the links has failed. The failed link is randomlylocated. An electrical engineer tests the links one by one until the failed link is found.a. What is the probability that the engineer will find the failed link in the first test?b. What is the probability that the engineer will find the failed link in five tests?Note: You should assume that for Part b, the five tests are done consecutively.arrow_forwardProblem 3. Pricing a multi-stock option the Margrabe formula The purpose of this problem is to price a swap option in a 2-stock model, similarly as what we did in the example in the lectures. We consider a two-dimensional Brownian motion given by W₁ = (W(¹), W(2)) on a probability space (Q, F,P). Two stock prices are modeled by the following equations: dX = dY₁ = X₁ (rdt+ rdt+0₁dW!) (²)), Y₁ (rdt+dW+0zdW!"), with Xo xo and Yo =yo. This corresponds to the multi-stock model studied in class, but with notation (X+, Y₁) instead of (S(1), S(2)). Given the model above, the measure P is already the risk-neutral measure (Both stocks have rate of return r). We write σ = 0₁+0%. We consider a swap option, which gives you the right, at time T, to exchange one share of X for one share of Y. That is, the option has payoff F=(Yr-XT). (a) We first assume that r = 0 (for questions (a)-(f)). Write an explicit expression for the process Xt. Reminder before proceeding to question (b): Girsanov's theorem…arrow_forwardProblem 1. Multi-stock model We consider a 2-stock model similar to the one studied in class. Namely, we consider = S(1) S(2) = S(¹) exp (σ1B(1) + (M1 - 0/1 ) S(²) exp (02B(2) + (H₂- M2 where (B(¹) ) +20 and (B(2) ) +≥o are two Brownian motions, with t≥0 Cov (B(¹), B(2)) = p min{t, s}. " The purpose of this problem is to prove that there indeed exists a 2-dimensional Brownian motion (W+)+20 (W(1), W(2))+20 such that = S(1) S(2) = = S(¹) exp (011W(¹) + (μ₁ - 01/1) t) 롱) S(²) exp (021W (1) + 022W(2) + (112 - 03/01/12) t). where σ11, 21, 22 are constants to be determined (as functions of σ1, σ2, p). Hint: The constants will follow the formulas developed in the lectures. (a) To show existence of (Ŵ+), first write the expression for both W. (¹) and W (2) functions of (B(1), B(²)). as (b) Using the formulas obtained in (a), show that the process (WA) is actually a 2- dimensional standard Brownian motion (i.e. show that each component is normal, with mean 0, variance t, and that their…arrow_forward
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