Get Instant Help From 5000+ Experts For
Get Instant Help From 5000+ Experts For
Random-Variable-Solution Assignment Help. Get it now !
The table on the right shows the joint probability distribution between two random variables – X and Y. (In a joint probability distribution table, numbers in the cells of the table represent the probability that particular values of X and Y occur together.
What is the mean of the sum of X and Y?
(A) 1.2
(B) 3.5
(C) 4.5
(D) 4.7
(E) None of the above.
Solution: The correct answer is D. The solution requires three computations: (1) find the mean (expected value) of X, (2) find the mean (expected value) of Y, and (3) find the sum of the means. Those computations are shown below, beginning with the mean of X.
E(X) = Σ [ xi * P(xi) ]
E(X) = 0 * (0.1 + 0.1) + 1 * (0.2 + 0.2) + 2 * (0.2 + 0.2) = 0 + 0.4 + 0.8 = 1.2
Next, we find the mean of Y.
E(Y) = Σ [ yi * P(yi) ]
E(Y) = 3 * (0.1 + 0.2 + 0.2) + 4 * (0.1 + 0.2 + 0.2) = (3 * 0.5) + (4 * 0.5) = 1.5 + 2 = 3.5
And finally, the mean of the sum of X and Y is equal to the sum of the means. Therefore,
E(X + Y) = E(X) + E(Y) = 1.2 + 3.5 = 4.7
Note: A similar approach is used to find differences between means. The difference between X and Y is E(X – Y) = E(X) – E(Y) = 1.2 – 3.5 = -2.3; and the difference between Y and X is E(Y – X) = E(Y) – E(X) = 3.5 – 1.2 = 2.3
Problem 2
The table on the left shows the joint probability distribution between two random variables – X and Y; and the table on the right shows the joint probability distribution between two random variables – A and B.
Random Variable Solution Assignment Help
HelpWithAssignment provides timely help at affordable charges with detailed answers to your assignments, homework, research paper writing, research critique, case studies or term papers so that you get to understand your assignments better apart from having the answers. The team has helped a number of students pursuing education through regular and online universities, institutes or online Programs.

Book Your Assignment

Drop files here or click to upload.
Or click here to upload

How It Works

Step 1


Step 2

Get A Price Quote Within Minutes

Step 3

Make The

Step 4

Track Your Request Through Tracker

Step 5

Receive Completed Assignment In Inbox

Customer Reviews

1.: I had used another online accounting assignment help providerearlier for one of my accounting assignments and my professor immediately foundout that it was not my work. But with HelpWithAssignment and theirassignment help experts who are from Singapore itself I have never faced thisproblem and have been happily using their services for the past two semesters.  

Chan Heng Chee Essay: , Deadline:

Chan Heng Chee

WhenI was handed over a data filled excel sheet to analyze as a part of theassignment, then I had no idea what to do and how to approach. I kept onthinking as the deadline kept on getting nearer. Then one of my seniors incollege told me about HwA and that is how I first approached them. Theexperience was fantastic as the experts here found out definitive trends andmade sense out of that sheet. They also helped me with the writing the analysisand I got good grades. 

Sam Coughman Essay: , Deadline:

Sam Coughman

Very happy with the help for my test they were very good to work with and were exceptional for my circumstances.

Melissa Sparks Essay: , Deadline:

Melissa Sparks

The budget friendly yet high quality of online math tutoring that I received from HwA has helped me improve my grades by almost double! The online math tutoring sessions give me the requisite confidence about the subject that subsequently helps me to better write my math assignments and math homework and ultimately improves my grade.

Elijah Kline Essay: , Deadline:

Elijah Kline

We were practically bombarded with assignmentspertaining to magnetism and electro-magnetism, when I became desperate andstarted searching help online. Luckily I landed on this page and since then Ialways approach them for help. They are professional in their approach and getthe job done, no matter what. 

Brian Wilson Essay: , Deadline:

Brian Wilson

The expert really exceeded my expectations in my management assignment! The responses were EXACTLY what I envisioned an expert to respond – especially in “the third person”. Excellent material provided and followed instructions 100%. Very very very pleased!!!

David Joseph Essay: , Deadline:

David Joseph

Get assignment help from subject matter experts!

4.7/5 rating | 1M+ happy students | Great tutors 24/7 | 11+yrs exp in academic writing