The random variables X and Y in Exercise 4. For the following joint distributions, find the probabilities

Question:

The random variables X and Y in Exercise 4.
For the following joint distributions, find the probabilities for the random variable X - Y (the difference), and check that E(X - Y) = E(X) - E(Y) and that Var(X - Y) = Var(X) + Var(Y) if Cov(X, Y) = 0.

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

Step by Step Answer:

Related Book For book-img-for-question

Modeling the Dynamics of Life Calculus and Probability for Life Scientists

ISBN: 978-0840064189

3rd edition

Authors: Frederick R. Adler

See More Books

Question Posted: Apr 14, 2016 06:47 AM

See More Questions

Find the expectations of the random variables from their marginal distributions. 1. The random variables X and Y in Exercise 1. 2. The random variables X and Y in Exercise 2. 3. The random variables...
For the random variables X and Y in Exercise 2.31 on page 72, determine the correlation coefficient between X and Y. Exercise 2.31 From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas,...
Consider Review Exercise 3.66. There are two service lines. The random variables X and Y are the proportion of time that line 1 and line 2 are in use respectively. The joint probability density...
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_
Indicate the normal balance and category of each of the following accounts: a. Unearned Revenue b. Merchandise Inventory (beginning of period) c. Freight-In d. Payroll Tax Expense e. Purchases...
A thin circular disk is subjected to induction heating from a coil the effect of which is to provide a uniform heat generation within a ring section as shown. Convection occurs at the upper surface,...
For each of the following sets of numbers, calculate the sample size \((N)\), the mean \(\mathrm{X}^{-}\) , the standard deviation \((s)\), and the standard error of the mean \(s \mathrm{X}^{-}\): a....
Joes Deli orders specially- made sandwich buns from two different suppliers: Gold Star Breads and Grandmas Bakery. Joes Deli would like to use only one of the suppliers in the future. Due to...
You are tasked with predicting the occurrence of a binary event E. That is, = EUE, and ENE 0. Let p and 1-p denote your true probabilities for E and E, respectively. Let r and 1-r denote your...
Jimmy owns a garden in which he has planted N trees in a row. After a few years, the trees have grown up and now they have different heights. Jimmy pays much attention to the aesthetics of his...
The random variables X and Y in Exercise 3, with variances found in Section 7.2, Exercise 11. For the following joint distributions, find the probabilities for the random variable X - Y (the...
Find Cov(X, X). How does it compare with Var(X)? Consider any random variable X that has a finite expectation and variance.
A beaker contains oil of density 0.80 g/cm 3 . A 1.6-cm cube of aluminum ( = 2.70 g/cm 3 ) hanging vertically on a thread is submerged in the oil. Find the tension in the thread.
conduct research on new and emerging trends in performance management and appraisal and record your findings. 2. outline the process that you will follow in implementing the Human Resource Management...
A recipe for 12 portions of beef stew lists 1 kg beef and 24 mushrooms in the required ingredients. How much of each ingredient do you need to prepare 36 portions?
how to improve knowledge, learning and engagement using innovative practices?
" How can a socialization process benefit an organization and their employees? " Please explain your response in a detailed posting.
Review the TED-talk " Why the best hire might not have the perfect resume " by Regina Hartley which can be accessed using the link: https://youtu.be/jiDQDLnEXdA Summarize the speaker's views and then...
What is meant by the term financing off the statement of financial position? When do leases provide such financing, and what are the accounting and economic consequences of such activity?
Sheldon and Leonard had a million-dollar idea. In order to make it happen, they have to do special research first. Only Kripke can help them in this matter. But Kripke is known to be the first-class...
The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 cm2, find the dimensions of the poster with the...
A poster is to have an area of 180 in with 1-inch margins at the bottom and sides and a 2-inch margin at the top. What dimensions will give the largest printed area?
A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle, how should the wire be cut so that the total area enclosed is (a)...
a) Based on the information provided in the table below: i. Describe the impact of the cost behavior on economies of scale, constant returns to scale, and diseconomies of scale in each firm?...
Use the following information to answer questions below: Total current assets Total non-current assets Total current liabilities Long-term borrowings Share capital Revenue Gross profit Retained...
A Public Information Officer ( PIO ) for a public safety or emergency management agency might expect to spend what portion of his or her time on activities directly related to incident response or...

The random variables X and Y in Exercise 4. For the following joint distributions, find the probabilities

Question:

Y=1 0.05 0.04 0.01 Y=2 0.1 0.08 0.02 Y=3 0.35 0.28 0.07

Step by Step Answer:

The random variable X Y takes on the value 0 with proba...View the full answer

Modeling the Dynamics of Life Calculus and Probability for Life Scientists

Students also viewed these Statistics questions