In a 1-D, 2-class problem, the density functions of both classes are adequately represented by univariate Gaussian, with μ1=3 , 1 = 5 and μ2= 5 , 2 = 2
Sketch the two density functions on the same figure.
Given the normal density functions with parameters are μ1=3 , 1 = 5 and μ2= 5 , 2 = 2
In a 1-D, 2-class problem, the density functions of both classes are adequately represented by univariate...
In a 1-D, 2-class problem, the density functions of both classes are adequately represented by univariate Gaussian, with μ1=3 , 1 = 1 and μ2= 5 , 2 = 2 Sketch the two density functions on the same figure Assume that P(w1) = 0.6, P(w2) = 0.4 a) Use MATLAB to draw the pdf and the posteriori probability. Comment on the difference We were unable to transcribe this imageWe were unable to transcribe this image
Problem 1 (100/70): In a 1-D, 2-class problem, the density functions of both classes are adequately represented by univariate Gaussians, with μ1-4, σ1-2 μ2-6 σ2-3. (1) (15/10) Sketch the two density functions on the same figure using pencil and paper (i.e., without MATLAB or any other software package). Assume equal prior probability, predict how many decision regions there would be. (2) (55/30) Assume equal prior probability, (10/5) Ifr-4.7, which class does r belong to? Use the MAP method. Show detailed...
Let and be two Gaussian random variables. (1) Sketch the PDFs of , on the same chart. (2) Assuming , are independent, compute . X1N(4.2,1) X2~ N(12,70 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
a) By direct substitution determine which of the following functions satisfy the wave equation. 1. g(x, t) = Acos(kx − t) where A, k, are positive constants. 2. h(x, t) = Ae where A, k, are positive constants. 3. p(x, t) = Asinh(kx − t) where A, k, are positive constants. 4. q(x, t) = Ae where A, a, are positive constants. 5. An arbitrary function: f(x, t) = f(kx−t) where k and are positive constants. (Hint: Be careful with...
U~Unif[-2,5] and 1 What are the density of Y and fy(y)? 2 What is (use derived density) 3 What is (use the density of U and need to match part 2) We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image2 EU?
Data Structures – Test D (Java) Trace Dijkstra’s algorithm starting from for the graph represented in the handout. From the algorithm’s output, determine the shortest path from to ? We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageTest B To AM 7 6 4 3 2 0 1 11 5 0 From 2 7 7 5 1 2 1 1 7 3 5 4 6 1 5 4 2 6...
Problem 5. Let E1 = Q(2,7 ), E2= (2,), 1 = 22 + 77, and 2 = 22 + 3() (i) Determine [Ei : Q] for i = 1, 2. (ii) Determine a basis of Ei over Q for i = 1, 2. (iii) Determine the minimal polynomial of i over Q for i = 1, 2. (iv) Determine if each of the extensions E1 / Q and E2 / Q is Galois. We were unable to transcribe this imageWe...
Question 4. Suppose for i=1,...,n both the mean and variance are unknown. Based on n=100 sample data, we would like to test vs a) at a type 1 error level , find a sample statistic T and the rejection region R that correctly controls exactly, i.e., find T and R that satisfy (must be exact in distribution not approximate). b) Compute the asymptotic power of T, i.e., what does converge to as sample size goes to infinity? Question 5. Following...
6. Suppose that fish come in two classes, salmon (class 1) and sea bass (class 2). We take a picture of a fish and measure its length, x, and wish to make a decision on the identity of the fish based on the value of x. Determine the decision regions in x for the Bayes classifier corresponding to the two classes under the following conditions (a) We assume that the class conditional densities are Gaussian with the following means, variances...
Which answer is right for this problem or are both answers just a different way of writing the same thing? Problem This is answer 1 This is answer 2 Which one is correct or are they both the same? the products in each reaction (SN1, SN2, E2 or E1) product. Indicatelmaionandminon cts(2 point each) (tip: each reaction has at least two products. Circle the major product.) d. CI グ Rate answe (J We were unable to transcribe this image