Let X 1 ,X 2 , . . . , X 5 be iid with pdf f(x)
Question:
Let X1,X2, . . . , X5 be iid with pdf f(x) = e−x, 0 < x < ∞, zero elsewhere. Show that (X1 + X2)/(X1 + X2 + · · · + X5) and its denominator are independent.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 81% (11 reviews)
Proof Let x1 x2 be the roots of fx Then X1 X2X1 X2 X5 is the fraction of X1X2X1x 2 x5 Use Sq...View the full answer
Answered By
James Warinda
Hi! I’m James Otieno and I'm an experienced professional online tutor with countless hours of success in tutoring many subjects in different disciplines. Specifically, I have handled general management and general business as a tutor in Chegg, Help in Homework and Trans tutor accounts.
I believe that my experience has made me the perfect tutor for students of all ages, so I'm confident I can help you too with finding the solution to your problems. In addition, my approach is compatible with most educational methods and philosophies which means it will be easy for you to find a way in which we can work on things together. In addition, my long experience in the educational field has allowed me to develop a unique approach that is both productive and enjoyable.
I have tutored in course hero for quite some time and was among the top tutors awarded having high helpful rates and reviews. In addition, I have also been lucky enough to be nominated a finalist for the 2nd annual course hero award and the best tutor of the month in may 2022.
I will make sure that any student of yours will have an amazing time at learning with me, because I really care about helping people achieve their goals so if you don't have any worries or concerns whatsoever you should place your trust on me and let me help you get every single thing that you're looking for and more.
In my experience, I have observed that students tend to reach their potential in academics very easily when they are tutored by someone who is extremely dedicated to their academic career not just as a businessman but as a human being in general.
I have successfully tutored many students from different grades and from all sorts of backgrounds, so I'm confident I can help anyone find the solution to their problems and achieve
0.00
0 Reviews
10+ Question Solved
Related Book For
Introduction To Mathematical Statistics
ISBN: 9780321794710
7th Edition
Authors: Robert V., Joseph W. McKean, Allen T. Craig
Question Posted:
Students also viewed these Business questions
-
Let X1,...,Xn be iid with pdf fx(x) and cdf Fx(x), and let X(i1)
-
Let X1,..., Xn be iid with pdf f(x|) = 1/, 0 x , > 0 Estimate using both the method of moments and maximum likelihood. Calculate the means and variances of the two estimators. Which one should be...
-
Let X1,..., Xn be iid with pdf fx(x), and let X denote the sample mean. Show that fx(x) = nfXl +.....+ xn(nx),
-
Remove left recursion in the following grammar. Show each step. Hint: First remove direct left recursion. Then the indirect left recursion. A AB | Aab | BA| a Bb | | b
-
How do firms record the gain from a bargain purchase?
-
Craig Corporation incurred the following costs while manufacturing its product. Work in process inventory was $12,000 at January 1 and $15,500 at December 31. Finished goods inventory was $60,000 at...
-
The entry to record the payment of $1,200 rent expense would be which of the following? DATE ACCOUNTS POST REF. DR. CR. a. Rent Expense 1,200 Accounts Payable 1,200 b. Cash 1,200 Rent Expense 1,200...
-
Holmes Company reported the following balance sheets at December 31, 2017 and 2018: Its income statement for 2018 was as follows: ($ in millions)...
-
Appropriately selecting a financial destination and mapping an efficient route to get there requires the use of which specific type of human capital? money profile money self money identity financial...
-
Bob just celebrated his 20th birthday today (1 January) and wishes to ac- cumulate $4,000,000 by the time he retires at age 65. He has two main investment streams to accomplish this goal: Save 10% of...
-
Let X 1 ,X 2 , . . . , X n denote a random sample from a Poisson distribution with parameter , 0 < < . Let Y = n 1 X i and let L[, (y)] = [ (y)] 2 . If we restrict our considerations to decision...
-
Show that the sum of the observations of a random sample of size n from a gamma distribution that has pdf f(x; ) = (1/)e x/ , 0 < x < , 0 < < , zero elsewhere, is a sufficient statistic for .
-
Let Q(t) = t 2 . Find a formula for the slope of the secant line over the interval [1, t] and use it to estimate the slope of the tangent line at t = 1. Repeat for the interval [2, t] and for the...
-
An Fitness Center charges $50 per month. Variable costs are about $5 per account per month. With marketing spending of $15 per month per customer, their retention rate is 98% per month. At a monthly...
-
4. Customer demands are uniformly distributed between 0 and 1 at a linear line. There are three suppliers A, B, and C, located at 0.3, 0.5 and 0.9, respectively (as shown in the following figure)....
-
On each of the following persona please describe the following: 1. Describe the overarching message and marketing goals for each persona. 2. Describe the content types that you'll use to...
-
Although Olive Garden, Maggiano's Little Italy, and Bertucci's all strive to provide good Italian food and service to their respective target markets, the difference in their choice of target market,...
-
Encik Zubir ( a certified handicapped person ) is the owner of a financial consulting firm, Bijak Wealth Enterprise. The business assists its clients to grow their wealth. Encik Zubir is married to...
-
Let V be an inner product space. (a) Prove that (x. v) = 0 for all v V if and only if x = 0. (b) Prove that (x. v) = (y. v) for all v e V if and only if x = y. (c) Let v1,...,vn be a basis for V....
-
Explain why each of the following is either a private good or a public good: traffic lights, in line skates, a city park, a chicken salad sandwich, a tennis racket, national defense, a coastal...
-
If is sufficient for , show that any one-to-one function of is also sufficient for .
-
Use the method of maximum likelihood to estimate in the pdf Evaluate e for the following random sample of size 4: y 1 = 6.2, y 2 = 7.0, y 3 = 2.5, and y 4 = 4.2. fy (y; 0) = 0 2, 2y -0y y 0
-
Show that is sufficient for 2 if Y 1 ,Y 2 ,...,Y n is a random sample from a normal pdf with = 0. n 62 = = i=1
-
1. Identifield and explain 3 causes of stress and 3 techniques to overcome stress ? 2. examine worksite stress management programmers more likely to be effective.
-
Bright Books is a bookstore chain established 10 years ago in northern Michigan. Bright Books has had great success in Michigan and Ohio and is beginning to expand into other states. Most recently,...
-
Design a synchronous counter using D flip-flops such that the count sequence of the counter follows the digits in . Each state must be 4-bit. Follow the steps below: (i) (ii) (iii) (iv) 137836...
Study smarter with the SolutionInn App