u =<4, -5 > v=<3, 2 > | 2u – vl = ? Whole number. <7, -1, 5 >.< 2, 3, 1>=? whole number
2) Suppose that X has density function f(a)- 0, elsewhere Find P(X < .3|X .7).
3. Let X and Y have a bivariate normal distribution with parameters x -3 , μΥ 10, σ 25, 9, and ρ 3/5. Compute (c) P(7<Y < 16). (d) P(7 < Y < 161X = 2).
Exercise 4.9.15. Find a continuous function defined in the region (x/2)+(/3)< 1 (i.e., the interior of an ellipse) that has neither a marimum nor a minimum but is bounded.
. c) + < 2 b) 2 + 3x 27, 0. Solve for r: r' + 2.r < 2.1? +12
0 x/8 x <0 0 11, Find the mean when F(x) = x < 2
4. Let (X,Y) be a bivariate normal random vector with distribution N(u, 2) where -=[ 5 ], = [11] Here -1 <p<1. (a) What is P(X > Y)? (b) Is there a constant c such that X and X +cY are independent?
5. Find the absolute maximum and absolute minimum values of the function f(x) = x.elfm) on the interval --2 < < 2. J 17 J 3.1.
Q2: Find the complex Fourier series (show your steps) - T < x <07 f(x) 0 < x < Q1: Find the Fourier transform for (show your steps) - 1<x< 0 Otherwise (хе f(x) = { 0,
2) Find the inverse z Transform of the following signal: 223-5z2+z+3 X(z) = (z-1)(z-3) [z] <1