![Problem 4. (5 pts) Continuous Random Variables (a) (2 pt) If X is uniform on [0, 1], then for what function f is f(x) exponen](http://img.homeworklib.com/questions/45454a50-f83b-11ea-956a-23cc26e2a92d.png?x-oss-process=image/resize,w_560)
Homework Answers
Add Answer to:
Problem 4. (5 pts) Continuous Random Variables (a) (2 pt) If X is uniform on [0,...
(a) (2 pt) If X is uniform on (0,1), then for what function f is f(x)...
(a) (2 pt) If X is uniform on (0,1), then for what function f is f(x) exponential with parameter 1? (b) (3 pts) If X,Y are independent standard normal random variables N(0,1), what is the density of X -Y?
are (3 pts) If X,Y independent standard normal random variables N(0,1), what is the density of...
are (3 pts) If X,Y independent standard normal random variables N(0,1), what is the density of X – Y?
Question 4: (5 Marks) Let X and Y be continuous random variables have a joint probability...
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
P7 continuous random variable X has the probability density function fx(x) = 2/9 if P.5 The...
P7
continuous random variable X has the probability density function fx(x) = 2/9 if P.5 The absolutely continuous random 0<r<3 and 0 elsewhere). Let (1 - if 0<x< 1, g(x) = (- 1)3 if 1<x<3, elsewhere. Calculate the pdf of Y = 9(X). P. 6 The absolutely continuous random variables X and Y have the joint probability density function fx.ya, y) = 1/(x?y?) if x > 1,y > 1 (and 0 elsewhere). Calculate the joint pdf of U = XY...
12. Let X and Y be independent random variables, where X has a uniform distribution on...
12. Let X and Y be independent random variables, where X has a uniform distribution on the interval (0,1/2), and Y has an exponential distribution with parameter = 1. (Remember to justify all of your answers.) (a) What is the joint distribution of X and Y? (b) What is P{(x > 0.25) U (Y > 0.25)}? (c) What is the conditional distribution of X. given that Y - 3? (d) What is Var(Y - E[2X] + 3)? (e) What is...
a. Suppose X and Y are continuous random variables with joint denisty f(x,y). Prove that the...
a. Suppose X and Y are continuous random variables with joint
denisty f(x,y). Prove that the density of X+Y is given by:
Use part (a) to show that if X,Y are independent and standard
Gauss-ian (i.e.N(0,1)) then X+Yi s centered Gaussian with variance
2 that is N(0,2).
fx+r(t) = { $(8,6 – u)dt
Problem 5 Suppose X and Y are independent random variables following Uniform[0, 1]. Let Z- (X +Y)/2. (1) Calculate the cumulative density of z. (2) Calculate the density of Z. Problem 5 Suppose...
Problem 5 Suppose X and Y are independent random variables following Uniform[0, 1]. Let Z- (X +Y)/2. (1) Calculate the cumulative density of z. (2) Calculate the density of Z.
Problem 5 Suppose X and Y are independent random variables following Uniform[0, 1]. Let Z- (X +Y)/2. (1) Calculate the cumulative density of z. (2) Calculate the density of Z.
Suppose X and Y are continuous random variables with joint density function 1 + xy 9...
Suppose X and Y are continuous random variables with joint density function 1 + xy 9 fx,y(2, y) = 4 [2] < 1, [y] < 1 otherwise 0, (1) (4 pts) Find the marginal density function for X and Y separately. (2) (2 pts) Are X and Y independent? Verify your answer. (3) (9 pts) Are X2 and Y2 independent? Verify your answer.
f(x,y)=0 2. (20 marks) Suppose X and Y are jointly continuous random variables with probability density...
f(x,y)=0 2. (20 marks) Suppose X and Y are jointly continuous random variables with probability density function fc, 0<x<1, 0<y<1, x + y>1 else a) (2.5 marks) Find the constant, c, so that this is valid joint density function. b) (5 marks) Find P(Y > 2X). c) (5 marks) Find P(X>0.5 Y = 0.75). d) (5 marks) Find P(X>0.5 Y <0.75). e) (2.5 marks) Are X and Y independent? Justify your answer citing an appropriate theorem.
Suppose X and Y are continuous uniform random variables. If X ~ U[0, 3] and Y~[0,...
Suppose X and Y are continuous uniform random variables. If X ~ U[0, 3] and Y~[0, 5] find the probability that a random X value is greater than a random Y value.
(a) (2 pt) If X is uniform on (0,1), then for what function f is f(x) exponential with parameter 1? (b) (3 pts) If X,Y are independent standard normal random variables N(0,1), what is the density of X -Y?
are (3 pts) If X,Y independent standard normal random variables N(0,1), what is the density of X – Y?
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
P7
continuous random variable X has the probability density function fx(x) = 2/9 if P.5 The absolutely continuous random 0<r<3 and 0 elsewhere). Let (1 - if 0<x< 1, g(x) = (- 1)3 if 1<x<3, elsewhere. Calculate the pdf of Y = 9(X). P. 6 The absolutely continuous random variables X and Y have the joint probability density function fx.ya, y) = 1/(x?y?) if x > 1,y > 1 (and 0 elsewhere). Calculate the joint pdf of U = XY...
12. Let X and Y be independent random variables, where X has a uniform distribution on the interval (0,1/2), and Y has an exponential distribution with parameter = 1. (Remember to justify all of your answers.) (a) What is the joint distribution of X and Y? (b) What is P{(x > 0.25) U (Y > 0.25)}? (c) What is the conditional distribution of X. given that Y - 3? (d) What is Var(Y - E[2X] + 3)? (e) What is...
a. Suppose X and Y are continuous random variables with joint
denisty f(x,y). Prove that the density of X+Y is given by:
Use part (a) to show that if X,Y are independent and standard
Gauss-ian (i.e.N(0,1)) then X+Yi s centered Gaussian with variance
2 that is N(0,2).
fx+r(t) = { $(8,6 – u)dt
Problem 5 Suppose X and Y are independent random variables following Uniform[0, 1]. Let Z- (X +Y)/2. (1) Calculate the cumulative density of z. (2) Calculate the density of Z.
Problem 5 Suppose X and Y are independent random variables following Uniform[0, 1]. Let Z- (X +Y)/2. (1) Calculate the cumulative density of z. (2) Calculate the density of Z.
Suppose X and Y are continuous random variables with joint density function 1 + xy 9 fx,y(2, y) = 4 [2] < 1, [y] < 1 otherwise 0, (1) (4 pts) Find the marginal density function for X and Y separately. (2) (2 pts) Are X and Y independent? Verify your answer. (3) (9 pts) Are X2 and Y2 independent? Verify your answer.
f(x,y)=0 2. (20 marks) Suppose X and Y are jointly continuous random variables with probability density function fc, 0<x<1, 0<y<1, x + y>1 else a) (2.5 marks) Find the constant, c, so that this is valid joint density function. b) (5 marks) Find P(Y > 2X). c) (5 marks) Find P(X>0.5 Y = 0.75). d) (5 marks) Find P(X>0.5 Y <0.75). e) (2.5 marks) Are X and Y independent? Justify your answer citing an appropriate theorem.
Suppose X and Y are continuous uniform random variables. If X ~ U[0, 3] and Y~[0, 5] find the probability that a random X value is greater than a random Y value.
Most questions answered within 3 hours.
-
I was looking for help with a computer science c programming
class. not c++
This program...
asked 14 minutes ago -
Albinism is an autosomal recessive condition characterized by
absence of melanin pigment from the skin, eye...
asked 4 minutes ago -
Suppose you're looking at a physics example online, and come
across this expression in the middle...
asked 12 minutes ago -
Compile a list (7 or more) of other commands useful for
navigating or manipulating the UNIX/Linux...
asked 22 minutes ago -
How many grams of PbBr2 will precipitate when excess CrBr3
solution is added to 61.0 mL...
asked 24 minutes ago -
If I was given the address of 134.15.0.0/16 from my ISP and I
wanted to use...
asked 29 minutes ago -
What is the pH of the solution that results of dissolving 1.74g
of sodium hydroxide in...
asked 33 minutes ago -
Given a standardized normal distribution (with μ = 0 and a σ =
1), what is...
asked 1 hour ago -
Given the following information:
acetic acid
CH3COOH
Ka = 1.8×10-5
triethylamine
(C2H5)3N
Kb = 5.2×10-4
(1)...
asked 56 minutes ago -
Potassium permanganate(KMNO4)is has a solubility of 6.4 g/ 100 g
of water at 20ºC, and 250...
asked 53 minutes ago -
51.
As the marginal propensity to expend rises, the multiplier:
decreases.
is impossible to determine.
increases....
asked 59 minutes ago -
The Baldwin Company currently has the following balances on their
balance sheet:
Total
Liabilities
$69,309
Common...
asked 1 hour ago