Question: 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

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 marginal probability mass functions px(x) and py(y) of X and Y. (b) Are the random variables X and Y independent? Justify your answer! (c) Calculate P (Y = 2 | Y > 2). (d) Calculate P ( Y

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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

Students Have Also Explored These Related Mathematics Questions!

Two discrete random variables X and Y have the joint probability mass function XY (,)={ x - y (1) x-y \y!()!, =0,1,...,;=0,1,2,... 0, Where and p are constants such with >0 and 0 1} Hint: For (a) the...

The discrete random variables X and Y have the joint probability mass function shown below: Find the expected value of X, E(X)? Find the expected value of XY, E(XY)? Find the covariance of X and Y,...

3. (12 points) The continuous random variable X has the probability density function (PDF) fx(x) =ce for x = 0 and 0 otherwise. 1} (2 points) Find the value of the constant . 2) ( 3) (4 points) Find...

probability theory 2. Two discrete random variables X and Y have the joint cumulative distribution function (cdf) defined as 1/12 x = 0,y =0 1/3 x =0,y =1 2/3 x=0,y = 2 Fxy (x, y) = 1/6 x =1,y=0 7/12...

4. (8 points) The discrete integer-valued random variables X and Y have the joint probability mass function (PMF) Px,y(x, y) = P(X = x, Y = y) = clx + yl for re {-2, 0, 2}, ye {-1, 0, 1} and 0...

Q 3 . Just part a ) Q 4 . Part a and b Suppose that, for - 1 1 , the random variables x and Y have the joint probability density function given by f ( x , y ) = { [ 1 - ( 1 - 2 e - x ) ( 1 - 2 e - y...

Find the marginal probability mass function of the random variables X and Y, if their joint probability mass function is given in Table 3.3.1. Table 3.3.1 Joint pmf of X and Y 4000 1000 y 120 2301

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.

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

You are a contestant on a television game show. Before you are three closed doors. One of them hides a car, which you want to win; the other two hide goats (which you do not want to win). First you...

Make a Company proposal about Depreciation. Objectives are 1.TITLE OF THE COMPANY 2.What is the company all about 3.compute Depreciation method to determine the depreciation value for the...

To prevent tank rupture during deep-space travel, an engineering team is studying the effect of temperature on gases confined to small volumes. What is the pressure of 2.40 mol of gas D measured at...

Jake's convertible bond is currently trading at 1 2 5 0 . You have calculated the investment value for the convertible bond at 1 1 2 5 and the conversion value at 7 5 0 . What is the amount of...

The present value of a perpetuity paying 11 at the end of every 4 years is 0.82. Find the annual effective rate of interest i . A. 5.51% B. 22.06% C. 33.09% D. 31.51% E. 8.82%

Technology. Six months ago, you entered into a one-year contract with Waldos Fitness Center. In the past two months, much of the equipment has not been working properly. In addition, many days the...

As ticket manager for Help Me, Donnie, a popular new TV talk show, prepare a form letter to be sent to people who have requested and will receive tickets to the show. In addition to basic information...

Club members will handle publicity, security, setup, and cleanup; no one will have access to the building.As the companys facility manager, approve Brendas request.Waive the $150 facility-use fee...