Let X,Y have joint density fX,Y (x, y) = 3x,y/1250, for 0 x, 0 y,
Question:
fX,Y (x, y) = 3x,y/1250,
for 0 ≤ x, 0 ≤ y, x + y ≤ 10
and fX,Y(x,y) = 0 otherwise.
a. Are X and Y independent?
b. Find the density fx(x) of X.
c. Find the density fy(y) of Y.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 69% (13 reviews)
a No the region of ...View the full answer
Answered By
Sandip Nandnawar
I am a B.E (Information technology) from GECA and also have an M.C.M from The University of RTMNU, MH.
I worked as a software developer (Programmer and TL). Also working as an expert for the last 6 years and deal with complex assessment and projects. I have a team and lead a team of experts and conducted primary and secondary research. I am a senior software engg and senior expert and deal with all types of CSE and IT and other IT-related assessments and projects and homework.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Introduction to Probability
ISBN: 978-0716771098
1st edition
Authors: Mark Daniel Ward, Ellen Gundlach
Question Posted:
Students also viewed these Statistics questions
-
Let X, Y have joint density fx, y (x, y) = 3/38750 (x3 + y2), for 0 x 10 and 0 y 5, And fx. y (x, y) = 0 otherwise. Find P (X 5, y 2).
-
Let X, Y have joint density fX, Y(x, y) = x + y, for 0 x,y 1, and fx, y (x, y) = 0 otherwise. Find the joint CDF, i.e., Fx, y (x, y) = P(X x, Y y).
-
Find E(g(X,Y)). Let X, Y have joint density fX,Y(x,y) = 1/36, for 0 x 6, 0 y 6, and fX,Y(x, y) = 0 otherwise. Let g(x, y) = 2x + y.
-
In the figure shown the block is given along the block Small of the displacement 's motion system is lying on table). of the a spring 3.. Equation_
-
Montana Pen Company manufactures a full line of premium writing instruments. It has 12 different styles and within each style, it offers ball point pens, fountain pens, mechanical pencils, and a...
-
Nikole invested $2,160 into an account that earns 3.26% interest compounded semi-annually . How long will it take (in years and days) to accumulate to $8,270. ( 1 year = 365 days ) Days are rounded...
-
Below is selected financial data extracted from the accounting records of Sustainable Clothing Pty Ltd for the year ended 30 June 2025. Required (a) Prepare a cost of goods manufactured statement for...
-
You are the CEO of a large organization that implemented a data warehouse for internal analysis of corporate data. The operations manager has written you a memo advocating opening the data warehouse...
-
Kevin is a vice president of wealth management at a large branch of a financial services firm. In addition to managing a number of clients of his own, Kevin is the branch manager as well as the...
-
Suppose you are a euro-based Italian Investor, and you are Investing 11,200 to buy shares of a British company at 50 per share. The exchange rate is 1.40 per pound. The stock pays a 1 dividend one...
-
Let X, Y have joint density fX,Y(x, y) = 2x/45, for 0 x 3, 0 y 5 and fX,Y (x,y) = 0 otherwise. a. Are X and Y independent? b. Find the density fX(x) of X. c. Find the density fY(y) of Y.
-
When an emergency occurs, the response time (in hours) of the first police car is a random variable X with density fx(x) = I2e-12x for x > 0, and fX (x) = 0 otherwise. The response time (in hours) of...
-
One target for a material of use for hydrogen storage in transport applications is that it should contain 10 weight per cent hydrogen. Which class of material is the most promising for this...
-
Use the following cash receipts journal to record the preceding transactions. Cash Receipts Journal Page 3 Sales Discounts Other Cost of Goods Sold DR Forfeited CR Accounts CR Merchandise Inventory...
-
Which inventory costing method assigns to ending merchandise inventory the newest the most recentcosts incurred during the period? a. First-in, first-out (FIFO) b. Weighted-average c. Specific...
-
Espinoza Air Conditioning & Heating had the following select financial data as of June 30, 2024. What is Espinozas cash ratio? a. 0.34 b. 0.65 c. 0.78 d. 1.54 Cash Cash Equivalents Accounts...
-
The following transactions of Jasmine Reef occurred during 2024: Requirements 1. Journalize required transactions, if any, in Reef s general journal. Explanations are not required. 2. What is the...
-
The statement of cash flows reports three types of cash flow activities. Explain the purpose of each of the following activities or sections in the statement of cash flows and how each of them...
-
Determine each of the following as being either true or false. If it is false, explain why. (x 7) 2 = 49 14x + x 2
-
Refer to the Conservation Ecology (Dec. 2003) study of the causes of forest fragmentation, presented in Exercise 2.166 (p. 97). Recall that the researchers used advanced high-resolution satellite...
-
To investigate methods of reducing fatigue among employees whose jobs involve a monotonous assembly procedure, 12 randomly selected employees were asked to perform their usual job under each of three...
-
A ranking of the quarterbacks in the top eight teams of the National Football League was made by polling a number of professional football coaches and sportswriters. This "true ranking" is shown...
-
The observations in the table are dissolved oxygen contents in water. The higher the dissolved oxygen content, the greater the ability of a river, lake, or stream to support aquatic life. In this...
-
Suppose you invest 52%, 28%, and 20% of your wealth into a stock, the market, and a risk-free asset, respectively. The beta of the stock is 1.1. What is the beta of the portfolio?
-
An investment of $21745, earning compound interest, grows by $2278 in one year. At this rate of growth, how long will it take for the original investment to double?
-
On September 12, 3,400 shares of Denver Company's common stock are acquired at a price of $58 per share plus a $170 brokerage commission. On October 15, an $1.20-per-share dividend was received on...
Study smarter with the SolutionInn App