please show steps clearly and neat
please show steps clearly and neat Example 3.1-4 Let X have the pdf (see below), find...
2. (10 marks) Let X, and X, be two random variables with joint pdf 3.1 0 < x <3 <1; xix,( 22) - Yo elsewhere. a) Are X, and X, independent? If not, find E(X,X2). b) Are X, and X, correlated? Find Cou(X1, X2).
Please show all steps and show neat work. thanks 4) For the periodic signal below, find the compact trigonometric Fourier series and sketch the amplitude and phase spec ra. If either sine or cosine terms are absent in the Fourier series, explain why -T π /4
please show steps Q.8 Let X and Y be continuous rvs with the joint pdf f(x, y) = (3/2)xy, for 0 < x, 0 < y, 0 < x + y < 2 and 0 otherwise. (a) Find E[X + Y ] and E[X − Y ] (b) Find E[XY ] (c) Find E[Y |X = x] and E[X|Y = y]. (d) Find Cov[X, Y ]
please show all steps. Problem 23. Let the random variables X and Y have a joint PDF which is uniform over the triangle with vertices at (0,0), (0,1), and (1.0). (a) Find the joint PDF of X and Y. (b) Find the marginal PDF of Y. (c) Find the conditional PDF of X given Y. (d) Find E[X|Y = y), and use the total expectation theorem to find E[X] in terms of E(Y). (e) Use the symmetry of the problem...
(b) Let X have the pdf x? f(x)= ;-3<x<3, 18 = zero elsewhere. (i) Find the cdf of X
Please use Precaulc to solve and show steps. Thank you 1. Let f(x) = *** a) Find f-'(x), if it exits b) show that f(--(x)) = x c) Sketch NEAT graphs of both functions below, labeling their intercepts, asymptotes etc. y = f(x) y = f'(x) d) Write the intervals of the functions below Domain of f(x) Domain off-(x) Range of f(x) Range of f-'(x)
Let , or ,zero elsewhere,be the pdf of X. Find . Show your work! f(x) = 1 /2
Let the random variable X have the pdf f(x) = e^(-x) for 0 < x < 1, and 0 elsewhere. Compute the probability that the random interval (X; 3X) includes the point x = 3. What is the expected value of the length of the interval?
Please write neat and show work/steps 3. Consider the function f(x) = (4x +5 on the interval (-1.1). (a) Find the quadratic Taylor approximation fr(x) > 00 + 10 + c2x2. Calculate the C to four decimal places. (b) Find the quadratic Legendre approximation f1(x) -- 20 +ajx + a2x?. Calculate the a; to four decimal places. If the two approximations differ greatly, something is probably wrong. You may want to consult section 4 in the pdf I sent you...
Please show ALL WORK Help Entering Answers See a similar example (PDF) Below is a sketch of the region bounded by the curve x tany), the (Click on the graph to enlarge it.) A solid is obtained by rotating this region about the y-axis. A cross-section of the solid perpendicular to the y-axis is a circular disk with radius r = gy) (because the radius depends on y and area Ay '. What are the radius and area of the...