If X is a random variable, then E(X - a) = E(X ) - a and E(aX

Question:

If X is a random variable, then
E(X - a) = E(X ) - a and E(aX ) = aE(X )
for any number a. Give intuitive justifications of these results

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

Step by Step Answer:

Related Book For book-img-for-question

Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

See More Books

Question Posted: Feb 12, 2018 09:04 AM

See More Questions

The Pilsdorff Beer Company runs a fleet of trucks along the 100 mile road from Hangtown to Dry Gulch. The trucks are old, and are apt to break down at any point along the road with equal probability....
If X is a random variable having a geometric distribution, show that P(X = x + n| X > n) = P(X = x)
Show that if X is a random variable having the Poisson distribution with the parameter and , then the moment-generating function of Z = X / That is, that of a standardized Poisson random...
Because the entries in the present value table (Table 13 - 3) are reciprocals of the corresponding entries in the future value table (Table 13 - 1), how can Table 13 - 3 be used to find the future...
In the circuit shown in Fig. both batteries have insignificant internal resistance and the idealized ammeter reads 1.50 A in the direction shown. Find the emf E of the battery. Is the polarity shown...
Subtle Persuasion in an Age of Social Media and Information Overload Professional persuaders try to generate a distinct kind of automatic, mindless compliance in people, a willingness to say yes...
Which is the better choice when purchasing a $30,000 car: a) a four-year loan at 6 percent, b) an immediate rebate of $2,000 and a four-year loan at 8 percent?
When is revenue recognized in the following situations? (a) Revenue from selling products? (b) Revenue from services rendered? (c) Revenue from permitting others to use enterprise assets? (d) Revenue...
The following information pertains to Hagen Metal Work's ending inventory for the current year: Quantity 230 Unit Cost $ 10 Unit Market Value $ 7 Required a. Determine the value of the ending...
Fill in the blanks to make the following statements correct. a. An important insight by early economists was that an economy based on free-market transactions is_______-organizing. Adam Smith...
If X is a random variable, then the variance of aX equals a2 times the variance of X. Verify this result for the random variable in Exercise 2 with a = 2.
Table 12 gives the fall 2015 enrollments of 10 of the largest university campuses in the United States. Determine the population mean and standard deviation for these enrollments. Which schools have...
Can you use the given information to determine that AB BC? Justify your answer. ACL BD, ADE = CDE A B D
Noeleen AutoMall, Ltd. recently completed an initial public offering(IPO) for$23,000,000 by listing its common shares on the New York Stock Exchange. Prior to itsIPO, Noeleen was a privately held...
Process Costing- increased units, FIFO method Answer in good form 25 26 Illustrative Problem-Cost of Production Report using Treatment by Neglect Dept 1-100% of materials are added at the beginning....
Write a C++ program that prompts the user to enter a letter and encrypt it using the following method: if the letter is an upper-case letter the program replaces the letter by the 7th letter in the...
Turn this information into an excel sheets with the excel formulas being shown P12.4 (LO 1) (Payroll Tax Entries) The following is a payroll sheet for Otis Imports for the month of September 2025....
What is the major factor preventing women of the Indian diaspora from engaging in elaborate rituals? Group of answer choices Lack of motivation or devotion Because rituals are tied to a place and...
The price of Mabels car, not including interest, is 12 percent more than the price of Roses car. Combined, Mabel and Roses cars cost $53,000. If Mabels car loan interest rate was 5.20 percent, what...
A heat engine has a heat input of 3 Ã 104 Btu/h and a thermal efficiency of 40 percent. Calculate the power it will produce, in hp. Source 3 x 10 Btu/h 40% HE Sink
For correlated random variables X and Y it is natural to ask for the expected value for X given Y . For example, Galton calculated the expected value of the height of a son given the height of the...
A game is played as follows: A random number X is chosen uniformly from [0, 1]. Then a sequence Y1, Y2, . . . of random numbers is chosen independently and uniformly from [0, 1]. The game ends the...
Consider the following two experiments: the first has outcome X taking on the values 0, 1, and 2 with equal probabilities; the second results in an (independent) outcome Y taking on the value 3 with...
) A form used to organize and check data before preparing financial reports is known as a(n):A) statement of financial position.B) income statement.C) ledger. D) worksheet.2) Bringing account...
16) The entry to record the payment of office salaries would be: A) Debit Cash; Credit Salaries PayableB) Debit Cash; Credit Salaries ExpenseC) Debit Salaries Expense; Credit Accounts PayableD) Debit...
9) The general journal:A) is the book of original entry.B) is the book of final entry.C) contains account balances.D) is completed after the closing entries.10) The process of initially recording...

If X is a random variable, then E(X - a) = E(X ) - a and E(aX

Question:

Step by Step Answer:

If the same value a is subtracted from each value all value are decreased by that value ...View the full answer

Finite Mathematics and Its Applications

Students also viewed these Statistics questions