Question: Find the marginal density functions of the random variables X and Y if their joint probability density function is given by {(3r-y). 1

Find the marginal density functions of the random variables X and Y if their joint probability density function is given by

{(3r-y). 1<x<2, 1<y<3 1<r<2, 1<y<3 0, f(x, v) ={K3r- y). otherwise.

{(3r-y). 1

Step by Step Solution

★★★★★

3.42 Rating (187 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The marginal pdf o... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

610-M-S-P (4335).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

Consider the following joint probability density function of the random variables X and Y: (a) Find the marginal density functions of X and Y. (b) Are X and Y independent? (c) Find P(X > 2).

Q:

A tobacco company produces blends of tobacco with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random...

Q:

Two electronic components of a missile system work in harmony for the success of the total system. Let X and Y denote the life in hours of the two components. The joint density of X and Y is (a) Give...

Q:

Question 1 below. Two discrete random variables X and Y have a joint probability mass function given in the table X 2 3 PX, Y (x, y) = 0.2 1 0. 1 0.1 y 2 0.2 0.1 0.2 3 0.1 0.2 (a) Calculate the...

Q:

Two random variables X and Y have a joint probability density function given by fXY(x, y) = Kxy, 0

Q:

given the jointly PDF function as: fyy(xy)=0.05 [u(x)-u(x-5)] [uy)-u(y-4)], the value of the E[Y] is a. none of these b. 5. . 2 d. 0.

Q:

Two random variables X and Y have a joint probability density function given by fXY(x, y) = Kxy, 0

Q:

Two random variables X and Y have a joint probability density function given by fXY(x, y) = Kxy, 0

Q:

Two random variables X and Y have a joint probability density function given by fXY(x, y) = Kxy, 0

Q:

Two random variables X and Y have a joint probability density function given by fXY(x, y) = Kxy, 0

Q:

The following debt investments were held by BSA Fighters Corp. during the period under audit: Debt investment - CAF Company On January 1, 2021, BSA Fighters Corp. purchased bonds of CAF Company with...

Q:

A local law enforcement agency claims that the number of times that a patrol car passes through a particular neighborhood follows a Poisson process with a mean of three times per nightly shift. Let x...

Q:

What is the difference between Operating Lease and Capital Lease? What are the conditions that distinguish capital lease from operating lease?

Q:

The Real Property Loan Law is embodied in the a. Civil Code. b. Code of Civil Procedures. c. Real Estate Code. d. Business and Professions Code.

Q:

The probability density function of the time it takes a hematology cell counter to complete a test on a blood sample is f(x) = 0.2 for 50

Q:

The thickness of photo resist applied to wafers in semiconductor manufacturing at a particular location on the wafer is uniformly distributed between 0.2050 and 0.2150 micrometers. (a) Determine the...

Q:

The probability density function of the time required to complete an assembly operation is for seconds. (a) Determine the proportion of assemblies that requires more than 35 seconds to complete. (b)...

Q:

For 3 input AND logic ( AND 3 ) , if and only if A = 1 , B = 1 , C = 1 , the output will be 1 . Base on that definition, the equation is output = ABC, the truth table for AND 3 is: ABC Output 0 0 0 ,...

Q:

Help! Espan The following is a list of 14 measurements. 11, -68, 3, 19, 63, 52, 48, -82, 31, -33, -17, 61, 20, -21 Send data to calculator Send data to Excel Suppose that these 14 measurements are...

Q:

Implement a function, solve_neq(X, y) that implements Algorithm 1. It should return a Numpy vector containing the model parameter estimates. Steps of the algorithm: Your algorithm should carry out...