For continuous random variable X and constants a and b, prove that E[aX + b] = aE[X]
Question:
For continuous random variable X and constants a and b, prove that
E[aX + b] = aE[X] + b.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 92% (13 reviews)
EaX b ax b fx dx ...View the full answer
Answered By
Patrick Busaka
I am a result oriented and motivated person with passion for challenges because they provide me an opportunity to grow professionally.
5.00+
38+ Reviews
58+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
A continuous random variable X that can assume values between x = 2 and x = 5 has a density function given by f(x) = 2(1 + x)/27. Find (a) P(X < 4); (b) P(3 < X < 4).
-
The probability density of the continuous random variable X is given by (a) Draw its graph and verify that the total area under the curve (above the x- axis) is equal to 1. (b) Find P(3 < X < 5). for...
-
Find the moment- generating function of the continuous random variable X whose probability density is given by And use it to find ' 1 , ' 2 , and 2 . l for 0x1 elsewhere f(x)=()
-
At the end of Year 1, Clayton Company had $7,000 of cash, $8,500 land, $2,500 of liabilities, $4,000 of common stock, and $9,000 of retained earnings. During Year 2, Clayton experienced the following...
-
What is an echo?
-
In the electroweak theory, symmetry breaking occurs on a length scale of about 10 -17 m. Compute the frequency of particles with de Broglie wavelengths (see Section 10.5) equal to this value, and,...
-
Visit a part of your college that serves the student community with either products or services. Some examples are food services, libraries, and book stores. Identify and describe between four and...
-
Shamrock Industries uses process costing. All of the companys manufacturing activities take place in a single processing department. The following information was available for the month of June:...
-
On January 1, 2020, Splish Company issued 10-year, $1,880,000 face value, 6% bonds, at par. Each $1,000 bond is convertible into 16 shares of Splish common stock. Splish's net income in 2020 was...
-
Alicia has been working for JMM Corp. for 32 years. Alicia participates in JMMs defined benefit plan. Under the plan, for every year of service for JMM, she is to receive 2 percent of the average...
-
Some authors take the following as the definition of continuous random variables: A random variable is continuous if the cumulative distribution function F(x) is continuous for all real x. Show that...
-
It is 9:00 p.m. The time until Joe receives his next text message has an exponential distribution with mean 5 minutes. (a) Find the probability that he will not receive a text in the next 10 minutes....
-
Which of the following is done using BeanBoxs property tool? (a) Change the value of a Beans property (b) Add new properties to a Bean (c) Delete a Beans property (d) None of the above
-
What factors pertain to determining the acceptable level of detection risk for long-term debt transactions?
-
What are three examples of business model innovation using robots?
-
Summarize the major changes made in ISO 9000-2015.
-
What is ISO 9000 registration, and how does it relate to total quality?
-
Explain five common errors in problem solving.
-
Which of the following explain why Ronald Reagan and Paul Volcker agreed on economic policy? a. They were both from the same political party. b. They both wanted to focus on long-term outcomes, not...
-
According during to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1,088 in 2018. Consider the population of "last-minute" filers who mail...
-
What is the expected relative risk of macular degeneration for lutein-treated participants versus placebo-treated participants in the proposed study? Suppose for the sake of simplicity that the...
-
How many infants with at least one birth defect would we expect among the 837 IVF infants if the true prevalence of at least one birth defect in the IVF group were the same as for infants conceived...
-
Does an unusual number of infants have at least one birth defect in the IVF group? Why or why not? Pediatrics A study was recently published in Western Australia on the relationship between method of...
-
Algunas acciones a desarrollar en las entregas certificadas son: Puede seleccionar ms de una opcin. Grupo de opciones de respuesta Reducir manipulacin excesiva Despacho Transporte Comunicaciones de...
-
PRACTICE EXERCISE 161. Record the following payment transactions for Letzelter Co. of Saint John,NB, during the month of November. Set up a Cash Payments Journal(page CP6) with these headings: Date,...
-
The CECL model:Multiple ChoiceConsiders historical experience but not forecasts of the future.Recognizes bad debts when it is probable that an economic sacrifice has occurred.Allows a company to use...
Study smarter with the SolutionInn App