We say that X is stochastically larger than Y, written X st Y, if, for all t.
Question:
P{X > t} ‰¥ P{Y > t}
Show that if X ‰¥st Y, then E[X] ‰¥ E[Y] when
(a) X and Y are nonnegative random variables;
(b) X and Y are arbitrary random variables.
Write X as
X = X+ ˆ’ Xˆ’
Where
Similarly, represent Y as Y+ ˆ’ Yˆ’. Then make use of part (a).
Transcribed Image Text:
X if X0 XX if X<0 0 if X
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 78% (14 reviews)
a Use Exercise 6 to obtai...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Statistics questions
-
Show that X is stochastically larger than Y if and only if E[f(X)] E[f(Y)] for all increasing functions f . Show that X st Y, then E[f(X)] E[f(Y)] by showing that f(X) st f(Y) and then using...
-
A cdf FX is stochastically greater than a cdf FY if Fx(t) FY(t) for all t and FX(t) < FY (t) for some t. Prove that if X ~ Fx and Y ~ FY, then P(X > t) P(Y > t) for every t and P(X > t) > P(Y > t)...
-
A family of cdfs {F(x|), } is stochastically decreasing in if 1 > 2 F(x|2) is stochastically greater than F(x|1). (See Exercises 3.41 and 3.42.) (a) Prove that if X ~ Fx(x|), where the sample...
-
Mike is a salesperson in a retail carpet store. He is paid $500 base salary per month plus 5% commission on sales over $10,000. His sales this month were $23,750. His total deductions were $152.75....
-
Find the range, variance, and standard deviation for the data in Exercise 17 of Section 21.
-
In 2014, Muhammad purchased a new computer for $16,000. The computer is used 100% for business. Muhammad did not make a 179 election with respect to the computer. He does not claim any available...
-
If sales are 20,000 and the gross profit margin is 20 percent, what is the cost of goods sold?
-
Lightning Industries specializes in making Flash, a high-moisture, low-alkaline wax used to protect and preserve skis. The company began producing a new, improved brand of Flash on January 1....
-
S P R Q Statement 1 2 RS PQ 3 ZQPR PRS Reason Given Given Alternate Interior Angles Theorem 4 PR PR Reflexive Property of Congruence 5 APQR ARSP AAS 6 RSPQ AAS ASA CPCTC Definition of congruence SAS...
-
Below is a brief description of a design-&-build power plant project. The top (i.e. northern) half of the plant plot contains the evaporation pond and tanks for storage of fuel. The...
-
In the text, we noted that when the Xi are all nonnegative random variables. Since an integral is a limit of sums, one might expect that whenever X(t), 0 t Define, for each nonnegative t, the random...
-
A group of n men and n women is lined up at random. (a) Find the expected number of men who have a woman next to them. (b) Repeat part (a), but now assuming that the group is randomly seated at a...
-
Why is it important to use systems analysis and design methodologies when building a system? Why not just build the system in whatever way seems to be quick and easy? What value is provided by using...
-
Show how you determined your choice by using a Decision Tree (draw and annotate your decision tree, including: decision, chance and terminal nodes, branches, values of each node. 1. To have a...
-
Suppose you are given a velocity profile u = U f'(n) for a boundary layer with (n/3)/5 0
-
Explain what is meant by value investing and describe the following approaches to value investing: passive screening, contrarian value investing and activist value investing. Describe four passive...
-
Can someone share the how you would calculate Basic Earnings per share with the following information? Net Income of 10,000,000 Preferred Stock - (20,000 shares authorized, 10,000 issued, 5%, $100...
-
A company budgets sales of $205,000 for April and $225,000 for May. Cash sales are 20% of total sales and credit sales are 80% of total sales. All credit sales are collected in the month after the...
-
In Japan, one worker can make 5 tons of rubber or 80 radios. In Malaysia, one worker can make 10 tons of rubber or 40 radios. a. Who has the absolute advantage in the production of rubber or radios?...
-
What did Lennox gain by integrating their WMS, TMS, and labor management systems?
-
Find \(A \cup B\). Use the Venn diagram provided to answer the following questions about the sets. \(U=\{a, b, c, \ldots, z\}\) b B A p C S
-
Maine Corporation buys motors for electric fans from another company that guarantees that at most 5% of its motors are defective and that it will replace all defective motors at no cost to Maine...
-
One of the toys made by Dillon Corporation is called Speaking Joe, which is sold only by mail. Consumer satisfaction is one of the top priorities of the companys management. The company guarantees a...
-
In a list of 15 households, 9 own homes and 6 do not own homes. Four households are randomly selected from these 15 households. Find the probability that the number of households in these 4 who own...
-
Following is information on two alternative investment projects being considered by Tiger Company. The company requires a 7% return from its investments. (PV of $1, FV of $1, PVA of $1, and FVA of...
-
5 23 Which of the following events would generally NOT require a company to record a current liability? Multiple Choice Assessment of Income Tax Expense at year-end. Sale of product to a customer,...
-
Farris Corporation, which has only one product, has provided the following data concerning its most recent month of operations: Selling price Units in beginning inventory Units produced Units sold...
Study smarter with the SolutionInn App