please show steps to find the given answers.
please show steps to find the given answers. Problem 3 (40 pts) Two random variables X...
dont have to do part C!
The join pdf of random variables X and Y is given as JXY, fxx(x, y) = {e=(x+y) x>0, else y>0 0 a) (10 pts) Find marginal pdf fx(x) for X, fy(y) for Y, and plot fx(x) and fy(y) b) (10 pts) Are X and Y independent? Why? c) (15 pts) Find the mean of X, the mean of Y, E[XY). d) (10 pts) Find the probability of event {Osxsys1}
1. Let X and Y be two jointly continuous random variables with joint CDF otherwsie a. Find the joint pdf fxy(x, y), marginal pdf (fx(x) and fy()) and cdf (Fx(x) and Fy)) b. Find the conditional pdf fxiy Cr ly c. Find the probability P(X < Y = y) d. Are X and Y independent?
The joint distribution of two continuous random variables X and Y are given by: [xx{xy) = Cry, for OSIS ys 1, and 0 elsewhere a) (2pt) Find C to make fxy(x,y) a valid probability density function. Enter the numerical value of C here: b) (2pt) What should be the correct PDF for x(x); 1. fx (I) = 2r for 0 5r31, and elsewhere. 2. fx(x) = 3-2 for 0 Sis 1 and 0 elsewhere. 3. fx (x) = 4r(1 –...
Can someone help me with this? Show that two jointly normally
distributed random variables are independent if they are
uncorrelated?
Additional Info:
Thank's a lot!!!
Let (*) ~ ~[(*) (*)) with oš> 0, 0} > 0. NX Then YlX^N (wy +O20yx(– Hx), oz, – 022Oxy@yx). That is, the regression function is here linear (in X): E[Y|X] = E[Y]+B(X – E[X]) = Hy +B(X – Hx), where B = Cov(X, Y) = pºy; recall: =vx= POD Cov(X, Y) = Oxy =...
.1. Two discrete random variables X and Y are jointly distributed. The joint pmf is f(z, y) = 1/28 , SX = {0, 1, 2, 3, 4, 5,6}, and SY = {0, .... X), where Y is a non-negative integer a) Find the marginal pdfs of X and Y b) Caculate E(X) and E(Y). 2. Let the joint pdf of X aud Y be a) Draw the graph of the support of X and Y b) Determine c in the joint pdf. c) Find E(X +Y),...
(35) Let X and Y be discrete random variables with join mass function 14 p(x, y) = (a) Find the marginal mass functions of X and Y, fx and fy, respec- tively. (b) Find the constant k (c) Find Cov(X, Y) (d) Find fx *fy
(35) Let X and Y be discrete random variables with join mass function 14 p(x, y) = (a) Find the marginal mass functions of X and Y, fx and fy, respec- tively. (b) Find the...
3. Consider two random variables X and Y, whose joint density function is given as follows. Let T be the triangle with vertices (0,0), (2,0), and (0,1). Then if (x, y for some constant K (a) (2 pts.) Find the constant K (b) (4 pts.) Find P(X +Y< 1) and P(X > Y). (c) (4 pts.) Find the marginal densities fx and fy. Conclude that X and Y are not independent
Stats please show the steps
10. Suppose we have a frequency function for two variables X and Y, f(x,y)= , for x = 0, 1, 2, 3 30 and y = 0, 1, 2. a. Determine the marginal distributions of X and Y. b. Determine E(X) and E(Y). c. Determine E(X+Y). d. If Z= 2X+10, determine E(Z). e. Determine E(XY). f. Determine cov(X,Y). g. Are X and Y independent? Justify your answer.
Suppose the two-dimensional random variable (X, Y ) is uniformly distributed over the triangle of the figure.a) What is f.d.p.c. of (X,Y). Calculate P(0 < X ≤ 1, Y > 1). Make a graphic sketch of the regionthat you used to calculate the probability. b) Determine the marginal distributions. (X, Y ) are independent?c) Find E[X] ,V AR[X], E[Y ] e V AR[Y ];d) Determine the conditional distributions. Use the conditionals to answer : (X, Y ) areindependent?e) Calculate E[XY ],...
Looking for help on question f and beyond
1. Suppose the discrete random variables X and Y have joint pmf (a) Find P(X < 1,Y 2 2) (b) Find P(Y-2) (c) Find P(x -Y) d) Find the marginal pmf of X, fx(x). Be sure to state the support (e) Find E(X) (f) Find the conditional pmf of Y given X- r, fy|x-»(b). Be sure to state the support (and the values a that can be conditioned on) (g) Find the...