The answers shown are not correct and I cannot figure out why! I have attached my work as well!
The answers shown are not correct and I cannot figure out why! I have attached my...
(1 point) If the joint density function of X and Y is f(x, y) = c(22 - y2)e- with OS: < oo and I y I, find each of the following. (a) The conditional probability density of X given Y = y >0. Conditional density fxy(:, y) = (Enter your answer as a function of I, with y as a parameter.) (b) The conditional probability distribution of Y given X = 2. Conditional distribution Fyx (2) = (Enter your answer...
Question 4: (5 Marks) Let X and Y be continuous random variables have a joint probability density function of the form: f(x,y) = cy2 + x 0 SX S1, 0 Sys1. Determine the following: 1. The value of c. 2. The marginal distributions f(x) and f(y). 3. The conditional distribution f(xly). 4. Are X and Y independent? Why? - the
If you could answer only a, and b. I just want to verify if my work is correct. Problem 1. Let X and Y be continuous random variables with joint probability density function given by Ca2 if2 0, z <4,z 2 -y, and z 2 y/2 f(,oherwise. (a) The marginal density, fy (), of Y. (Be explicit about all cases.) (b) The conditional density, fxiy(2), of X given Y- 2. Be explicit about all cases! (c) P(X > 3 |...
1. Consider a continuous random variable X with the probability density function Sx(x) = 3<x<7, zero elsewhere. a) Find the value of C that makes fx(x) a valid probability density function. b) Find the cumulative distribution function of X, Fx(x). "Hint”: To double-check your answer: should be Fx(3)=0, Fx(7)=1. 1. con (continued) Consider Y=g(x)- 20 100 X 2 + Find the support (the range of possible values) of the probability distribution of Y. d) Use part (b) and the c.d.f....
Problem #7: Suppose that the random variables X and Y have the following joint probability density function. f(x, y) = ce-5x – 3y, 0 < y < x. (a) Find P(X < 2, Y < 1.). (b) Find the marginal probability distribution of X. Problem #7(a): Problem #7(b): Enter your answer as a symbolic function of x, as in these examples Do not include the range for x (which is x > 0).
I have the answers for this question, however I don't understand part C - in particular why it seems to be double f(x) and the variable change to u? Question 3. Unit Conversion [16 marks] The temperature X in degrees Fahrenheit (F) of a particular chemical reaction is known to be distributed between 220 and 280 degrees with a probability density function of fx(x) = (x – 190)/3600. A value of X degrees Fahrenheit can be converted to Y degrees...
Please show the steps and the answers Suppose (X, Y) takes values on the unit square [0, 1] x [0, 1) with joint pdf f(x,y)- 3. (x2 + Y2). a) Find the marginal probability density function fx(x) and use it to find P(X < 0.5). b) Find the joint distribution function.
(+5) Answer the following for the joint density function analyzed in class: [0,2],y E [0, 1] f(x,y) = if else (a) (+2) The conditional density fy(y|X = 1). (b) (+1) The conditional mean E(Y|X = 1). (c) (+2) The conditional standard deviation ơyIXe1.
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)...
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...