Homework Answers
If Uk~Uniform(0,1), Vk=2 Uk-1~Uniform(-1,1) independently for each k=1,2
Then it is known that the convolution W=V1+V2 has the Triangular(-2,0,2) distribution.
Now realization from the distribution of V1 is 0.4 and realization from the distributions of V2 is -0.2
Hence a realization from Triangular(-2,0,2) distribution corresponding to these is .4-.2=0.2.
For query in above comment
Add Answer to:
Suppose that we have two PRNs, U1 = 0.7 and U2 = 0.4. Use these along...
23) Suppose you want to test the claim that u1 u2. Two samples are randomly selected...
23) Suppose you want to test the claim that u1 u2. Two samples are randomly selected from each population. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? (8.1) A) There is not sufficient evidence to support the claim u 2 B) There is sufficient evidence to support the claim u1 2 c) There is sufficient evidence to reject the claim 2 D) There is not sufficient evidence to reject...
you select two independent random samples from populations with means u1 and u2. suppose the sample...
you select two independent random samples from populations with means u1 and u2. suppose the sample mean for population 1 is 25 and σ1=3 and the sample mean for population is 20 and σ2=4. the 95% confidence interval for u1-u2 is (4.02,5.98). what common sample size, n, was used to obtain this interval?
As a general comment, remember that showing two random variables have the same CDFor PDF is...
As a general comment, remember that showing two random variables have the same CDFor PDF is sufficient for showing that they have the same distribution. a) First, let us see how to generate an exponential random variable with a uniform random vari- (b) Let M.N2 ~ y (0, î ), where Ni and N2 are independent. Prove that NỈ + N: ~ Expo( 1 /2). able. Let U1~Uniform(0, 1). Prove that-InU1Expo(1). Hint: You may use the fact that over a...
Q4. Let 1.01 0.99 0.99 0.98 (a) Find the eigenvalue decomposition of A. Recall that λ is an eigenvalue of A if for some u1],u2 (entries of the corresponding eigenvector) we have (1.01 u0.99u20 99...
Q4. Let 1.01 0.99 0.99 0.98 (a) Find the eigenvalue decomposition of A. Recall that λ is an eigenvalue of A if for some u1],u2 (entries of the corresponding eigenvector) we have (1.01 u0.99u20 99u [1] + (0.98-A)u[2] = 0. Another way of saying this is that we want the values of λ such that A-λ| (where I is the 2 x 2 identity matrix) has a non-trivial null space there is a nonzero vector u such that (A-AI)u =...
Please provide step by step solution and i will give a positive rating. Many thanks 1)Suppose we have a steady fluid flow through a section of a cylindrical pipe with varying area, with control volume...
Please provide step by step solution and i will give a positive rating. Many thanks 1)Suppose we have a steady fluid flow through a section of a cylindrical pipe with varying area, with control volume. At the entrance the radius of the pipe r1 = 4m, the flow velocity is U1 = 5 i m/s and at the exit the radius of the pipe is r2 = 2.5 m and the velocity of the flow is U2 = 5 i...
1. [50 pts] Suppose we have the following production function generated from the use of only...
1. [50 pts] Suppose we have the following production function generated from the use of only one variable input, labour (L): ??? = 0.4? + 0.09?2 − 0.0035?3 Where TPP represents the total physical product and L is measured in 1000 hour increments (ie 1.5=1500 hours). The Marginal Physical Product curve is represented by: ??? = 0.4 + 0.18? − 0.0105?2 e) [5 pts] Using Excel, or some other spreadsheet program, graph the production function. On a separate graph, plot...
What is the code and result in Rstudio or R 1. Suppose we have a random...
What is the code and result in Rstudio or R
1. Suppose we have a random sample 1.12, 0.44, -1.49, 0.02, 0.81, -1.34,1.34, 0.51,-0.12, 0.97. (a). Use two methods to find the sample mean (b). Use two methods to find the sample variance. (c). Find the sample standard deviation. 2. We can use function rt(n 100, df 2) to generate a random sample from a t-distribution with two degrees of freedom. The sample size is n 100. (a). Generate a...
Suppose we have the transformation function: Use the T function with po = Perform two iterations...
Suppose we have the transformation function: Use the T function with po = Perform two iterations of t starting with p = WRITE YOUR ANSWERS IN DECIMAL FORM, ROUND TO THE NEAREST TENTH. A= BE ote 9
Q5. (5 Marks) Suppose we have a one-link robot of L-1 m, controlled at the hinge by a motor. Ther...
Q5. (5 Marks) Suppose we have a one-link robot of L-1 m, controlled at the hinge by a motor. There is a wall, parallel to the X-axis, at a distance of 0.65m from the joint as shown in the Figure 5. We would like to generate a trajectory for the hinge motor which will start at time t 0 with the door along the X-axis and at rest. It will end at time t = 2s with the door q(t-...
(1 point) Suppose that we use Euler's method to approximate the solution to the differential equation...
(1 point) Suppose that we use Euler's method to approximate the solution to the differential equation dyr. dzvi y(0.4) = 9. Let f(x, y) = 25/y. We let Xo = 0.4 and yo = 9 and pick a step size h=0.2. Euler's method is the the following algorithm. From In and Yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing In+1 = xin + h Y n+1 =...
23) Suppose you want to test the claim that u1 u2. Two samples are randomly selected from each population. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? (8.1) A) There is not sufficient evidence to support the claim u 2 B) There is sufficient evidence to support the claim u1 2 c) There is sufficient evidence to reject the claim 2 D) There is not sufficient evidence to reject...
As a general comment, remember that showing two random variables have the same CDFor PDF is sufficient for showing that they have the same distribution. a) First, let us see how to generate an exponential random variable with a uniform random vari- (b) Let M.N2 ~ y (0, î ), where Ni and N2 are independent. Prove that NỈ + N: ~ Expo( 1 /2). able. Let U1~Uniform(0, 1). Prove that-InU1Expo(1). Hint: You may use the fact that over a...
Q4. Let 1.01 0.99 0.99 0.98 (a) Find the eigenvalue decomposition of A. Recall that λ is an eigenvalue of A if for some u1],u2 (entries of the corresponding eigenvector) we have (1.01 u0.99u20 99u [1] + (0.98-A)u[2] = 0. Another way of saying this is that we want the values of λ such that A-λ| (where I is the 2 x 2 identity matrix) has a non-trivial null space there is a nonzero vector u such that (A-AI)u =...
What is the code and result in Rstudio or R
1. Suppose we have a random sample 1.12, 0.44, -1.49, 0.02, 0.81, -1.34,1.34, 0.51,-0.12, 0.97. (a). Use two methods to find the sample mean (b). Use two methods to find the sample variance. (c). Find the sample standard deviation. 2. We can use function rt(n 100, df 2) to generate a random sample from a t-distribution with two degrees of freedom. The sample size is n 100. (a). Generate a...
Suppose we have the transformation function: Use the T function with po = Perform two iterations of t starting with p = WRITE YOUR ANSWERS IN DECIMAL FORM, ROUND TO THE NEAREST TENTH. A= BE ote 9
Q5. (5 Marks) Suppose we have a one-link robot of L-1 m, controlled at the hinge by a motor. There is a wall, parallel to the X-axis, at a distance of 0.65m from the joint as shown in the Figure 5. We would like to generate a trajectory for the hinge motor which will start at time t 0 with the door along the X-axis and at rest. It will end at time t = 2s with the door q(t-...
(1 point) Suppose that we use Euler's method to approximate the solution to the differential equation dyr. dzvi y(0.4) = 9. Let f(x, y) = 25/y. We let Xo = 0.4 and yo = 9 and pick a step size h=0.2. Euler's method is the the following algorithm. From In and Yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing In+1 = xin + h Y n+1 =...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago