Problem 2: Let Y be the density function given by f(y) = 1.5, -1<y < 0,...
Problem 1. Let Y be the density function given by f(y) = 1/5, −1 < y ≤ 0, 1/5 + cy, 0 < y ≤ 1 0, elsewhere. 1. Find the value of c that makes f(y) a density function. 2. Compute the probability P (−1/2 ≤ Y < 1/2) 3. Find the expected value µ and the standard deviation σ of
(1 point) 1. (Old Quiz Question) Let X and Y have the joint probability density function for 0 x elsewhere f(x, y)={1 f(x, y) = 1,08 ysl 0 (a) Calculate P(X - Y < 0.5) (b) Calculate P(XY <0.25) (c) Find P(X 0.75 IXY 〉 0.25)
the answer should be 1/2 +x 4. Let X and Y joint density function ( 2e-2(x+y) if 0<r<y< f(x,y) = elsewhere. What is the expected value of Y, given X = x, for x > 0?
Let the joint density function of random variables X and Y be f(x,y) = 8 - x - y) for 0 < x < 2, 2 < y < 4 0 elsewhere Find : (1) P(X + Y <3) (11) P(Y<3 | X>1) (111) Var(Y | x = 1)
Question#3 20 Points Let Y has the density function which is given below: 0.2 -kyS0 f(v) 0.2 + cy 0 0<p 1 otherwise (a) Find the value of c. (b) Find the cumulative distribution function F(y). (c) Use F(y) in part b to find F(-1), F(0), F(1) (d) Find P(0sYs0.5) (e) Find mean and variance of Y d X1 amd 2 aild ate subarea of a fixed size, a reasonable model for (X1, X2) is given by 1 0sx1 S...
) Let X, Y be two random variables with the following properties. Y had density function fY (y) = 3y 2 for 0 < y < 1 and zero elsewhere. For 0 < y < 1, given Y = y, X had conditional density function fX|Y (x | y) = 2x y 2 for 0 < x < y and zero elsewhere. (a) Find the joint density function fX,Y . Be precise about where the values (x, y) are non-zero....
Problem 1. Let X and Y be continuous random variables with joint probability density function f(x,y) distributions for X and Y are (i/3) (x +y), for (x, y) in the rectangular region 0ss1,0Sys 2. The two marginal Ix(x)- (z+1), if 0 251 fy(y) = (1+2y), if0 y 2 Calculate E(x IY -v) and Var (X |Y ) for each y l0,2).
Problem 29.1 Let X have the density function given by 0.2 -1<r<0 f(x) = 0.2 + cx 0 〈 x < 1 otherwise. (a) Find the value of c.
Let X and Y be random variables with joint density function f(x,y) бу 0 0 < y < x < 1 otherwise The marginal density of Y is fy(y) = 3y (1 – y), for 0 < y < 1. True False
The joint density function for X and Y is given as: f(x, y) = kxy for 0 < x < 2y < 1. Find the value of the constant k for which the p.d.f is legitimate. If the video does not work, click here to go to YouTube directly.