for example,given joint pdf of function is 2x
but intervals are 0<x<y<2. (it may be invalid
pdf) When i find marginal pdf of y,i will take
interval of (0,y) and integrate it with respect to x,(x,2) and
integrate it with respect to y. Do i need to use interval of
0<x<2 in any circumstance?
if support is 0 < x< y < 2
then for finding marginal pdf of y
here x vary from 0 to y
simlarly for marginal pdf of x
you do not need to use 0 < x< 2 here
for example,given joint pdf of function is 2x but intervals are 0<x<y<2. (it may be invalid...
1. The joint probability density function (pdf) of X and Y is given by fxy(x, y) = A (1 – xey, 0<x<1,0 < y < 0 (a) Find the constant A. (b) Find the marginal pdfs of X and Y. (c) Find E(X) and E(Y). (d) Find E(XY). 2. Let X denote the number of times (1, 2, or 3 times) a certain machine malfunctions on any given day. Let Y denote the number of times (1, 2, or 3...
< 1. The joint probability density function (pdf) of X and Y is given by for(x, y) = 4 (1 - x)e”, 0 < x <1, 0 < (a) Find the constant A. (b) Find the marginal pdfs of X and Y. (c) Find E(X) and E(Y). (d) Find E(XY).
1. Suppose that X and Y are random variables that can only take values in the intervals 0 X 2 and 0 Y 3 2. Suppose also that the joint cumulative distribution function (cdf) of X and Y, for 0 < 2 and 03 y 3 2, is as follows: Fy). 16 [5] (a) Determine the marginal cdf Fx(x) of X and the marginal cdf Fy () of Y [5] (b) Determine the joint probability density function (pdf) f(x, y)...
4. The joint distribution of X and Y is given by 0 otherwise (a) Are X and Y independent? Explairn. (b) Find the marginal probability function (pdf) of Y, fy (). (c) Provide the integral for finding P(X < Y), but DO NOT evaluate.
If the joint density function of X and Y is
f(x,y)=c(x^2−y^2)e^(−2x),
with 0≤x<∞and −x≤y≤x find each of the following.
(a) The conditional probability density of X,
given Y=y>0.
Conditional density fX|Y(x,y)=
(Enter your answer as a function of x, with y as a
parameter.)
b. Find the marginal density of the critical thinking test
score, and evaluate it at the point Y=1/3
(1 point) Applicants for the University of Statland take two tests, one for writing ability and the...
1. Determine the constant c such that the given function is a valid joint PDF for the jointly continuous random variables X and Y. f(x,y) ={cry otherwise 0 < y < 2x a. Find the value of the constant c. b. Find the marginal PDFs for X and Y. Are X and Y independent?
the joint probability density
function is given by
1. The joint probability density function (pdf) of X and Y is given by fxy(x,y) = A (1 – xey, 0<x<1,0 < y < 0 (a) Find the constant A. (b) Find the marginal pdfs of X and Y. (c) Find E(X) and E(Y). (d) Find E(XY).
16) X & Y have joint pdf f(x, y) = 3xy, 0 < x <1, x < y < 2 − x Determine the marginal pdf of X on the interval (0, 1) the answer is 6x – 6x^2 19) Suppose X & Y have a uniform (flat) pdf on the support of problem (16). Determine P(Y > 2X). the answer is 2/3 I would like to know the answer of question 20 and question 21 20) Continuing problem (19),...
Calculate the following for the random vector (XY) with joint pdf fixy)--(3/4)(x+y) if 2x<yco, -1<x<o. 1. The marginal pdf of X and the marginal pdf of Y. Are X and Y independent random variables? 2. The expected value and variance of X and Y respectively. 3. The joint cdf in the case 2x<y<0. -1<x<0. 4. The expected value of the random variable Z defined as X^2 times Y^2. 5. The covariance between X and Y. 6. The expected value and...
6. Suppose X and Y have the joint pdf fr,y) = 2 exp(-:- 0 ) 0< <y otherwise o a. Find Px.x, the correlation coefficient between X and Y. b. Let U = 2X-1 and V=Y +2. What is pu.v, the correlation coefficient between U and V? c. Repeat (b) if U = -TX and V = Y + In 2. d. Let W = Y - X. Compute Var (W). e. Refer to (d). Find an interval that will...