Here is the answer in below images.
The size (in mm) of a crack in a structural weld is given as: X 0...
A steel component must support a uniaxial tensile load. The component has three cracks of size: 5 mm, 2.5 mm and 1 mm as shown in the diagram below. The size of the component is substantially larger than the crack size. The tensile stress on the structure is gradually increased from no load. i)Mark (with a ring) on the figure below where you expect the component to fail. i) Calculate at what stress failure will occur. (Kc 55 MPavm; Y...
4. The Uniform (0,20) distribution has probability density function if 0 x 20 f (x) 20 0, otherwise, , where 0 > 0. Let X,i,.., X, be a random sample from this distribution. Not cavered 2011 (a) [6 marks] Find-4MM, the nethod of -moment estimator for θ for θ? If not, construct-an unbiased'estimator forg based on b) 8 marks Let X(n) n unbia estimator MM. CMM inbiase ( = max(X,, , Xn). Let 0- be another estimator of θ. 18θ...
S 3x2/8 if 0 < x < 2 f(x) = { 0 otherwise is a probability density function. (a) What is F(x), the associated cdf? (6) What is F-1(x)? et U ~ . Use a random number generator to generate ten observations of U. (d) If X is a random variable with pdf f, use your answer to (c) to generate ten observations of X.
An article considered the use of a uniform distribution with A 0.20 and B4.25 for the diameter X of a certain type of weld (mm) (a) Determine the pdf of X. (Round your answers to three decimal places.) (b) What is the probability that diameter exceeds 1 mm? (Round your answer to three decimal places.) (c) What is the probability that diameter is within 1 mm of the mean diameter? (Round your answer to- three decimal places.) (d) For any value a satisfying 0.20...
PLEASE SOLVE FULLY WITH NEAT HANDWRITING AND EXPRESS FINAL
ANSWER WITH BOXES!!
Suppose that the density (pdf) function for a random variable X is given by fx)or 0s x s2 and fx) 0 otherwise. What is Suppose that the density (pdf) function for a random variable X is given by f(x)--for 0 SX 2 and f(x)-0 otherwise, what is the probability P(0.5 1)? Round your answer to four decimal places. X
Suppose that the density (pdf) function for a random...
PLEASE SOLVE FULLY WITH NEAT HANDWRITING AND STATE THE FINAL
ANSWER IN A BOX!!!!!
Suppose that the density (pdf) function for a random variable X is given by f(X) = _ for 0 SX the probability P(0.5 1)? Round your answer to four decimal places. 2 and f(x)-0 otherwise. What is
Suppose that the density (pdf) function for a random variable X is given by f(X) = _ for 0 SX the probability P(0.5 1)? Round your answer to four...
xx = 04 so that means F = 2.04 kN.
Please show all of your work with detailed steps.
For figure 4, the column is a structural channel steel 203 x 89 mm plate in tension is d = 100 mm, b = 150 mm and the thickness is 8 mm. Force F= 2.XX kN., where xx is the first two digits of your student number. Specify the weldment (give the pattern, electrode number, type of weld, length of weld,...
Suppose that a random variable X has a (probability) density function given by 52e-2, for x > 0; f(x) = 0, otherwise, (i) Calculate the moment generating function of X. [6 marks] (ii) Calculate E(X) and E(X²). [6 marks] (iii) Calculate E(ex/2), E(ex) and E(C3x), if they exist. [3 marks] (iv) Based on an independent random sample X = {X1, X2, ..., Xn} from the dis- tribution of X, provide a consistent estimator for 0 = E(esin(\)), where sin() is...
Actual Size Nominal Size Weight (b/m) (kg/m) (in x in) (in x in) (mm x mm) 1 x 1 3/4 x 3/4 19x 19 0.14 1 x2 3/4 x 1 1/2 19 x 30 0.27 1 x3 3/4 x 2 1/2 19 x 64 0.47 1 x4 3/4 x 3 1/2 19 x 89 0.64 1 x 6 3/4 x5 1/2 19x 140 1.00 1x8 3/4 x7 1/4 19x 184 132 19 x 235 19 x 286 1 x 10...
along the top, but not along the bottom edge. The leg of the weld has a width of in (the maximum possible). The dimensions are l1 = 6 in and a = 4 in. In solving this problem be sure to carefully consult Table 9-1. Be sure to include both primary and secondary shear stresses. 2. (a) Identify the location in the weld metal of the worst throat stress, and find the magnitude of this stress. Since there is no...