We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
5. (40 points) Let f(x,y) = (x + y),0 < 2,2 <y < 1 be the joint pdf of X and Y. (1) Find the marginal probability density functions fx(x) and fy(y). (2) Find the means hx and my. (3) Find P(X>01Y > 0.5). (4) Find the correlation coefficient p.
1. For pdf f (r, y) = 1.22, 0 < x < 1,0 < y < 2, z +y > 1, calculate: EY) and () E (X2)
(10 pts) The joint distribution of X and Y is given by: f(x,y) = 1/y, 0 < x < y < 1. Derive the distribution of Z= Y/X. You must use both the methods (CDF & Transforma- tion).
Let X and Y have join density
6 f(x, y) =-(x + y)2, 0 < x < 1, 0 < y < 1
2. Let f(x,y) = e-r-u, 0 < x < oo, 0 < y < oo, zero elsewhere, be the pdf of X and Y. Then if Z = X + Y, compute (a) P(Z 0). (b) P(Z 6) (c) P(Z 2) (d) What is the pdf of Z?
1) 2) 3) integer A, B; input (A): while (A> 0) 5) A=2*A; 6) i (A < 20 or A> 30) 7) 8) 9) 10 lse B-A 2, 12) B-A 2 13) 14) output (A, B): 15) input (A): 16) end;
Let X. Y be two random variables with joint density fx.x(x,y) = 2(x + y), 0<x<y<1 = 0, OTHERWISE a) Find the density of Z = X-Y b) Find the conditional density of fXlY (x|y) c)Find E[X|Y (x|y)] d) Calculate Cov(X, Z)
Suppose S CR3 is the intersection of B(0; 2) and the cylinder {(1, y, z) : y2 + 22 <1}, and that 1 the density of S is given by p(x, y, z) = -2 5. Set up an iterated integral which gives the mass of S (you do not need to evaluate it).
using C++
1. Convert the following while loop into a for loop: int count = 0; while (count < 10) x = count + sin(x); y = count + cos(y); count++;
Given f(x,y) = 2 ; 0 <X<y< 1 a. Prove that f(x,y) is a joint pdf b. Find the correlation coefficient of X and Y