(2) Find the density of X4 when X ~Еxp().The following answers are proposed.(a) fy (y) = le-iv)2(b fy (y) = e¬¿»)"21y > 0.2 (y)/212 (y)/2y > 0.(ofr (y) = le-¿♥)² 1(d) fy (y) = le¿)22 y'y > 0.12 (y)\/2 *y > 0.(e) None of the above

The random variable follows exponential distribution with parameter is given as follows:i.e.

Answered: (2) Find the density of X² when X The…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A pulse (gas) travelling along a fine straight uniform tube filled with gas causes the density at any time t and distance x from the origin where the velocity is u_{0} to become roh_{0}ϕ(vt-x). Prove that the velocity u (at time t and distance x from the origin) is given by
A thin wire is bent into the shape of a line segment from (1, 2) to (−1, 1), and the curve y = x2 from (−1, 1) to (2, 4). Set up the line integral(s) to find the mass of the wire if its density is given by δ(x, y) = 2y.(Do Not Evaluate.)
A wire takes the shape of the semicircle x2+y2 =1 y>0 and is thicker near its base than near the top. Find the center of mass of the wire if the linear density at any point is proportional to its distance from the line y=1
A mass m moves along the x-axis subject to an attractive force given by 19mx/2 and a retarding force given by , where x is its distance from the origin and is a constant. A driving force given by , where A is a constant, is applied to the particle along the x-axis. c)What is the maximum amplitude
Find the mass M and the center of mass x of a rod lying on the x-axis over the interval [1, 2] whose density is given by δ(x) = 2 + 3x2.
A statistician has to decide on the basis of a singleobservation whether the parameter θ of the density f(x) =⎧⎨⎩2xθ 2 for 0 < x < θ0 elsewhere equals θ1 or θ2, where θ1 < θ2. If he decides on θ1 when theobserved value is less than the constant k, on θ2 when theobserved value is greater than or equal to the constant k,and he is fined C dollars for making the wrong decision,which value of k will minimize the maximum risk?
5.) Suppose the joint density for X and Y is given by f(x, y) = 1/xfor 0 < y < x < 1. Find ρX,Y
When a particle of mass m is at (x, 0), it is attracted toward the origin with a force whose magnitude is k/x2. If the particle starts from rest at x = b and is acted on by no oth-er forces, find the work done on it by the time it reaches x = a, 0< a < b.
Find the center of mass of a thin plate covering the region between the x-axis and the curve y = 2/x2, 1 ≤ x ≤ 2, if the plate’s density at the point (x, y) is δ(x) = x2.
A rod with uniform density (mass/unit length) δ(x)=2+sin(x) lies on the x-axis between x=0 and x=π. Find the mass and center of mass of the rod.
A lamina occupies the region inside the circle x2 + y2 = 6y but outside the circle x2 + y2 = 9. Find the center of mass if the density at any point is inversely proportional to its distance from the origin.
Consider a thin plate of constant density d lying in the regionbounded by the graphs of y = √x and x = 2y. Find the plate’s mass.

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

(2) Find the density of X² when X The following answers are proposed. (a) fy(y) = λe-λ(y)¹/2" (b) ƒy (y) = e¯Â(y)¹/² (c) fy(y) = λe-λ(y)¹/2 1 2y⁹ 1 2 (y)¹/2 (d) fy(y) = λe^(y)¹/² (e) None of the above 1 2 (y)¹/2 1 2 (v) 1/29 Exp(2). y > 0. y > 0. y > 0. y > 0.