Suppose X and Y have joint probability density f(x, y) = g(x)h(y) for some functions g and
Question:
Suppose X and Y have joint probability density f(x, y) = g(x)h(y) for some functions g and h which depend only on x and y, respectively. Show that X and Y are independent with fX(x) ∝ g(x) and fY(y) ∝ h(y).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (9 reviews)
Solve Note that are constant...View the full answer
Answered By
Raju Bommineni
I did certification in mathematics. I have 8 years of experience as a maths teacher.i taught various concepts in mathematics like calculus,geometry,trignometry,algebra.
As a maths teacher my role is to teach the students,clearing doubts,conducting exams,evaluation of answer scripts,discuss with the students about their performance in exam.conducting one to one sessions with the learning disability students. Encouraging the students to do maths projects.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
A production facility contains two machines that are used to rework items that are initially defective. Let X be the number of hours that the first machine is in use, and let Y be the number of hours...
-
Suppose that the random variables (X, Y) have joint probability density function ((x, y). The marginal probability density function of X is defined to be Where ((x) and b(x) are the smallest and...
-
Suppose X and Y have joint PDF Find (a) The joint PDF of U = X + Y and V = X (b) The marginal PDF of U. f(x, y) - to otherwise
-
I keep getting the second question wrong. Can you help me to getthat one, please thank you.I tried 8.66, and 8.67 does not are the correct answer A firm has 10 million shares outstanding with a...
-
In the bathtub, submerge your head and listen to the sound you make when you click your fingernails together or tap the tub beneath the water surface. Compare the sound you make when both the source...
-
The Bay City Parks and Recreation Department has received a federal grant of $600,000 to expand its public recreation facilities. City council representatives have demanded four different types of...
-
Reduce transmission of excitation force from one part to another a. Introduce damping b. Use vibration isolator c. Add vibration absorber d. Avoid resonance
-
When the accounts of Constantine Inc. are examined, the adjusting data listed below are uncovered on December 31, the end of an annual fiscal period. 1. The prepaid insurance account shows a debit of...
-
Find the complex root ( - 2 + - 4 ???? )
-
Kessler Brothers produces products for farms and ranches. The administrative and manufacturing operations occupy the same 240,000-square-foot building. The manufacturing plant uses 180,000 square...
-
Suppose (X, Y) are distributed uniformly on the circle of radius 1 centered at the origin. Find the marginal densities of X and Y. Are X and Y independent?
-
Consider the following attempt at generating a point uniformly distributed in the circle of radius 1 centered at the origin. In polar coordinates, pick R uniformly at random on (0,1). Pick uniformly...
-
What are two benefits of organizing and storing research materials online, in the cloud, rather than just on your computer?
-
The figure shows a double cast-iron bearing block that is to be bolted permanently to a steel ceiling joist. One steel washer is used under each bolt head and nut. The diameter of the washer face is...
-
Use the stack based algorithm to convert the following postfix expression into a Binary Expression Tree. Show your work step by step. abc-e+ d f*g-/
-
A new rear-wheel drive automobile design is being tested and you have been asked to estimate its performance. The car without wheels (i.e., the body) has a mass of m = 1150 kg. The wheels (including...
-
1) The disk is placed inside a fluid having a viscous friction coefficient of A (Nm/rad/s). The moment of inertia of the disk is B (Nm/rad/s). The torsional spring constant is C (Nm/rad). The applied...
-
1. Find the minimum point of f(x) = 3x - 2x + x + 2x4 using the golden section method between a = -1.25 and au = -0.9. Conduct four iterations using the following table. Tabulate the ten values from...
-
Consider a periodic signal x(t) with fundamental period T 0 =1 and a period x 1 (t) = 0.5t[u(t) u(t 1)]. (a) Consider the derivative g(t) = dx(t)/dt. Indicate if g(t) is periodic and if so give its...
-
Determine the annual percentage yield for a loan that charges a monthly interest rate of 1.5% and compounds the interest monthly.
-
Answer Problem 6.70 for the average heart rate (or blood pressure) over all available levels to baseline? Data Set NIFED.DAT (at www.cengagebrain.com) was described earlier. We wish to look at the...
-
Suppose that there are 6 deaths due to bladder cancer among workers in a tire plant from 1/1/64 to 12/31/83, while 1.8 are expected based on U.S. mortality rates. Provide a 95% CI for the expected...
-
Suppose that there are 4 deaths due to stomach cancer among workers in a tire plant from 1/1/64 to 12/31/83, while 2.5 are expected based on U.S. mortality rates. Provide a 95% CI for the expected...
-
Stefney Christian Date: 06/26/2023 To: From: New England Patriot Subject: Analysis of Aircraft Purchase vs. Chartering Decision I've done a thorough analysis of the decision to buy or charter a plane...
-
An investment of $21700 is accumulated at 5.24% compounded quarterly for three and one-half years. At that time the interest rate is changed to 6.12% compounded monthly. How much is the investment...
-
5. Design a direct-mapped cache structure. The cache has the capacity of 8kB (kilo-byte), assuming 1 block is 512 bytes, and 1 valid bit, 1 tag bit. Calculate (S, E, B, m), draw and explain the cache...
Study smarter with the SolutionInn App