Question: the following table is the joint probability mass function of two discrete random variables X and Y x=-1 x=0 x=1 x=2 y=-1 0.2 0.1 0.1

the following table is the joint probability mass function of two discrete random variables X and Y x=-1 x=0 x=1 x=2 y=-1 0.2 0.1 0.1 0.1 y=1 0.2 0.1 0.1 0.1

1.find E ( X ) and var ( X ) 2. find E(Y 2) 3. Are X and Y independent of each other?

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!

A machine used for lling plastic bottles with a soft drink has a known standard deviation of = 0.05 liter. The target mean ll volume is = 2.0 liters. (a) Describe the sampling distribution of x,...

2.38. A coin is tossed three times. If X is a random variable giving the number of heads that arise, construct a table showing the probability distribution of X. 2.39. An urn holds 5 white and 3...

GIVE DETAILED WORKING IN ALL QUESTIONS. Suppose that a game is to be played with a single die assumed fair. In this game a player wins $20 if a 2 turns up, $40 if a 4 turns up; loses $30 if a 6 turns...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

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...

Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...

Suppose that R(A, B, C) is a relational schema with functional dependencies F = {A, B C, C B}. (i) Is this schema in 3NF? Explain. [2 marks] (ii) Is this schema in BCNF? Explain. [2 marks] (b)...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Prolog You are approached to compose a Prolog program to work with twofold trees. Your code shouldn't depend on any library predicates and you ought to expect that the mediator is running without...

Table of z values and probabilities for the standard normal distribution. z is the first column plus the top row. Each cell shows P( X z). For example P( X 1.04) = .8508. For z

Consider an operating system that uses hardware support for paging to provide virtual memory to applications. (a) (i) Explain how the hardware and operating system support for paging combine to...

Jones Co. started the year with no inventory. During the year, it purchased two identical inventory items at different times. The first purchase cost $1,130 and the other, $1,540. Jones sold one of...

A 2.0-N force acts horizontally on a 10-N block that is initially at rest on a horizontal surface. The coefficient of static friction between the block and the surface is 0.50. What is the magnitude...

An initial public offering ( IPO ) is best described as the _ _ _ _ _ _ _ _ _ _ _ _ _ . Answer first round of venture capitalist investing first sale of stock by a firm to the public borrowing cap...

Lahey Corp. has three defined-benefit pension plans as follows. How will Lahey report these multiple plans in its financial statements? Plan X Plan Y Plan Z Pension Assets (at Fair Value) $600,000...

For Warren Corporation, year-end plan assets were $2,000,000. At the beginning of the year, plan assets were $1,780,000. During the year, contributions to the pension fund were $120,000, and benefits...

The bolts on the cylinder head of an engine require tightening to a torque of 88m N. If a wrench is 28 cm long, what force perpendicular to the wrench must the mechanic exert at its end? If the...

The potential difference across the filament of a lamp is maintained at a constant level while equilibrium temperature is being reached. It is observed that the steady-state current in the lamp is...

An unmanned spacecraft is it a circular orbit around the moon, observing the lunar surface from an altitude of 50.0 k/n (see Appendix F). To the dismay of scientists on earth, an electrical fault...

Determine if the overhead allocated to the product relates to a single plantwide overhead rate method, multiple production department factory overhead rate method, or activity-based costing...

61. The Internet. The NAEP report described in Exercise 59 compared science scores for students who had home Internet access with the scores of those who did not, as shown in the graph. They report...

60. Credit card debt. The average household credit card debt has been reported to be between $8000 and $10,000. Often of interest is the average credit card debt carried by college students. In 2008,...

62. Credit card debt public or private. The average credit card debt carried by college students was compared at public versus private universities. It was reported that a significant difference...