Show that, if X1,..., Xn are independent random variables, and a1,..., an are constants, then Var(a X1
Question:
Transcribed Image Text:
Var(aı X1 + + an Xn) = af Var(X1) ++a, Var(Xn).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (5 reviews)
To conclude I can say that ...View the full answer
Answered By
Joseph Mwaura
I have been teaching college students in various subjects for 9 years now. Besides, I have been tutoring online with several tutoring companies from 2010 to date. The 9 years of experience as a tutor has enabled me to develop multiple tutoring skills and see thousands of students excel in their education and in life after school which gives me much pleasure. I have assisted students in essay writing and in doing academic research and this has helped me be well versed with the various writing styles such as APA, MLA, Chicago/ Turabian, Harvard. I am always ready to handle work at any hour and in any way as students specify. In my tutoring journey, excellence has always been my guiding standard.
4.00+
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
-
Show that if X1, X2, . . . , Xn are independent random variables having the chi-square distribution with v = 1 and Yn = X1 + X2 + · · · + Xn, then the limiting distribution of As...
-
If X1, X2, . . . , Xn are independent random variables having identical Bernoulli distributions with the parameter , then is the proportion of successes in n trials, which we denote by . Verify that...
-
Show that if X1, X2, . . . , Xn are independent random variables and if Y1 = r1(X1), Y2 = r2(X2), . . . , Yn = rn(Xn), then Y1, Y2, . . . , Yn are also independent random variables.
-
Part C A 100.0 ? and a 150.0 ? resistor, both ratedat 2.00 W, are connected in series across a variable potentialdifference. What is the greatest this potential difference can bewithout overheating...
-
Figure shows several data flows running to the general ledger (GL) for the purpose of updating the GL master data. a. For each of the following data flows in Figure show the journal entry (in...
-
Suppose you can choose between two loans for $50,000, each with an APR of 6%: Loan 1 Loan 2 Term 36 months 36 months Balloon payment at the end of the loan $0 $10,000 What is the amount of monthly...
-
Transaction Analysis} Goal Systems, a business consulting firm, engaged in the following transactions: a. Issued common shares for \(\$ 50,000\) cash b. Borrowed \(\$ 20,000\) from a bank c....
-
Southeastern Oklahoma State Universitys business program has the facilities and faculty to handle an enrollment of 2,000 new students per semester. However, in an effort to limit class sizes to a...
-
Discuss possible reasons a corporation may want to grow its international business. Describe the risks that a potential multinational corporation may no longer face as it ceases to be a domestic...
-
The Global Tea and Organic Juice companies have merged. The following information has been collected for the Consolidation Project. 1. Compute the expected time for each activity. 2. Compute the...
-
Let X have density fx(x) = 1/3e-x/3, for 0 < x, and fx(x) = 0 otherwise. a. Find the expected value of X3, i.e., E(X3). b. Find a general form, which handles all positive integers n, for E(Xn), often...
-
If the joint density of X and Y is 8/27xy on the interior of the triangle with corners at (0, 0), (3, 0), (0, 3) (and the joint density is 0 elsewhere), find E(X).
-
In Problem, find f(x) and simplify. f(x) = (4x + 3)1/2
-
Solve 7.54x-2x dx x 8.x (3x-2)dx 9.x-6x-5dx 10. S 11. x dy a-by 4xdx x3+8
-
1. What are some factors that affect capital structure decisions made by management? What are the arguments in support of using debt as part of the capital structure? 2. Does capital structure...
-
A rocket sled for testing equipment under large accelerations starts at rest and acceler- ates according to the expression a = (2.3 m/s)t + (4.1 m/s2). How far does the sled move in the time interval...
-
Using factual and legal similarities, show how Alabama v. Shelton is analogous (similar) to the precedent case Gideon v. Wainwright: each answer is a paragraph 2. Show how Alabama v. Shelton is...
-
Use multiplication: 6. (secx+1)(secx-1)= tan x 9. cos x(secx-tanx)=1-sin x 7. sin x(cscx - sin x) = cos x 10. cotx(secx-cos x)=sin x 8. (sin x cos x)=1-2 sin x cos x
-
Find the real solutions of each equation. t/22t/4 + 1 = 0
-
Beginning with a country that has a trade deficit, demonstrate graphically what will happen to a countrys potential output with globalization if that countrys costs of production fall. Explain your...
-
A survey was conducted prior to the 2004 presidential election to explore the relationship between a persons religious fervor and their choice of a political candidate. Voters were asked how often...
-
The number of passengers x (in millions) and the revenue y (in billions of dollars) for the top nine U.S. airlines in a recent year are given in the following table. a. Construct a scatterplot for...
-
You have two groups of distinctly different items, 10 in the first group and 8 in the second. If you select one item from each group, how many different pairs can you form?
-
Kevin was hired as the Chief Executive Officer (CEO) of Iota Corporation, a privately-owned company in the energy sector, effective February 1, 2022. Throughout the fiscal year 2023, Iota Corporation...
-
Exercise 3 - 6 ( Static ) Schedules of Cost of Goods Manufactured and Cost of Goods Sold; Income Statement LO 3 - 3 ] Mason Company provided the following data for this year: \ table [ [ Sales , $ 5...
-
Old Country Links, Incorporated, produces sausages in three production departments - Mixing, Casing and Curing, and Packaging. In the Mixing Department, meats are prepared and ground and then mixed...
Study smarter with the SolutionInn App