Let X and Y be random variables with joint pdf fX,Y (x, y)=k, 0 x

Question:

Let X and Y be random variables with joint pdf
fX,Y (x, y)=k, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ x + y ≤ 1
Give a geometric argument to show that X and Y are not independent.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction To Mathematical Statistics And Its Applications

ISBN: 9780321693945

5th Edition

Authors: Richard J. Larsen, Morris L. Marx

See More Books

Question Posted: Dec 20, 2015 03:23 AM

See More Questions

Let X and Y be random variables with joint density function Find the expected value of Z = /X2 + Y2.
Let X and Y be random variables with finite variance. Prove that |(X, Y)| = 1 implies that there exist constants a, b, and c such that aX + bY = c with probability 1. Use Theorem 4.6.2 with U = X X...
Let X and Y be random variables with finite means. (a) Show that where g(x) ranges over all functions. (E(Y|X) is sometimes called the regression of Y on X, the "best" predictor of Y conditional on...
If y=tan-13/t^2 find dy/dt
For the data set (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x = 6.2, sx = 3.03315, y-bar = 2.04, sy = 0.461519, and r =...
Jax Taylor has the financial statements of an old established university, a manufacturing company, an insurance company, a real estate developer, a major retail enterprise, and a pension plan. (a)...
Consider again the scenario from P19 above. Give the flow tables entries at packet switches s1 and s3, such that any arriving data-grams with a source address of h3 or h4 are routed to the...
Stacey Small has a small salon that she has run for a few years as a sole proprietorship. The proprietorship uses the cash method of accounting and the calendar year as its tax year. Stacey needs...
Company XYZ sells two products: AAA and BBB. Product BBB has a lower selling price but higher contribution margin compared to product AAA. Assume that the factory has fixed production capacity. If...
1. Discuss the main issues faced by Yalla Momos. 2. Evaluate the current financial performance of Yalla Momos and compare his performance to the industry ratios. 3. Elaborate on the relevant factors...
Suppose that each of two urns has four chips, numbered 1 through 4. A chip is drawn from the first urn and bears the number X. That chip is added to the second urn. A chip is then drawn from the...
Are the random variables X and Y independent if fX,Y (x, y) = 2/3 (x + 2y), 0 x 1, 0 y 1?
Suggest a way to determine if the colorless liquid in a beaker is water. How could you discover if there is salt dissolved in the water?
1 . Journalize the following transactions: ( a ) Issued 1 , 0 0 0 shares of $ 1 0 par common stock at $ 5 9 for cash. ( b ) Issued 1 , 4 0 0 shares of $ 1 0 par common stock in exchange for equipment...
Using alpha .05, determine if moving to a larger enclosure decreased tiger anxiety levels. You should first calculate the difference (After - Before) Tiger Before Anthony 45 45 Banthony 56 After 38...
Cyclohexane (C 6 H 12 ) is produced by mixing Benzene and hydrogen. A process including a reactor, separator, and recycle stream is used to produce Cyclohexane. The fresh feed contains 260L/min C 6 H...
Suppose the city is undergoing severe ination. Specifically, both goods prices have risen by 10%. What percentage of a raise in the wage rate should Alex request from her boss, for her to maintain...
1. An iron cube of mass 0.55 kg is raised to a temperature of 100C by being placed in boiling water for 5 minutes. It is then removed and transferred immediately to an aluminium calorimeter filled...
Under what circumstances will the Internal Revenue Service recognize a minor child as a partner in a service partnership? In a partnership where capital is a major income- producing item?
One of the significant and relevant accounts for this cycle is equipment. For this account, what would typically be the most relevant assertions for the auditor to consider? Why is it important for...
Does the project managers resistance to change contradict her roles as a change agent?
Show that if E1, E2, . . . , En are events from a finite sample space, then p(E1 E2 En) p(E1) + p(E2)+ +p(En). This is known as Boole's inequality
If E and F are independent events, prove or disprove that E and F are necessarily independent events. In Exercises 18, 20, and 21 assume that the year has 366 days and all birthdays are equally...
a) What is the probability that two people chosen at random were born during the same month of the year? b) What is the probability that in a group of n people chosen at random, there are at least...
What is Apple Companys strategy for success in the marketplace? Does the company rely primarily on customer intimacy, operational excellence, or product leadership? What evidence supports your...
Exercise 1 1 - 7 ( Algo ) Net present value and unequal cash flows LO P 3 Gomez is considering a $ 2 1 0 , 0 0 0 investment with the following net cash flows. Gomez requires a 1 2 % return on its...
a Campbell Inc. produces and sells outdoor equipment. On July 1, 2011. Campbell issued $40,000,000 a 10-year, 10% bonds at a market (effective) interest rate of 9%, receiving Cash of 548,601,480....

Let X and Y be random variables with joint pdf fX,Y (x, y)=k, 0 x

Question:

Step by Step Answer:

k 2 Then 2 times area of A P Y 34 Also 2 times ar...View the full answer

Introduction To Mathematical Statistics And Its Applications

Students also viewed these Statistics questions