Let X be a random variable with mean and variance 2 such that the fourth
Question:
Let X be a random variable with mean μ and variance σ2 such that the fourth moment E[(X − μ)4] exists. The value of the ratio E[(X − μ)4]/σ4 is often used as a measure of kurtosis. Graph each of the following probability density functions and show that this measure is smaller for the first distribution.
(a) f(x) = 1/2 , −1 < x < 1, zero elsewhere.
(b) f(x) = 3(1 − x2)/4, −1 < x < 1, zero elsewhere.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (10 reviews)
a The fourth moment is 21 2x21 1 x2 14 By the law of quadratic r...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 X be a random variable with mean and variance 2, and let X1, X2, , Xn be a random sample of size n from X. Show that the statistic V = k (Xi+1 Xi)2is an unbiased estimator for 2 for an...
-
Let X be a random variable with density function fX. Show, using elementary calculus, that the function Ф(a) = E((X a)2) takes its minimum value when a = (X), and in that case (a) = 2(X).
-
Let X be a random variable with density function fX. Show, using elementary calculus, that the function Ф(a) = E((X a)2) takes its minimum value when a = (X), and in that case (a) = 2(X).
-
In his senior year at Notre Dame, Chris Moore had been the third runner-up for the fabled Heisman Trophy. The trophy goes to the outstanding football player in America and is presented annually by...
-
You are asked to analyze Netflix, Inc.s EPS for the three years 2011, 2012, and 2013. Use the footnote disclosure to answer the following questions. a. Netflixs net income on the income statement is...
-
Complete the depreciation data.
-
What assumptions underlie ecological accounting? Consider whether one assumption behind ecological accounting and reporting is more important than the other assumptions.
-
On July 1, Raney Corporation purchases 500 shares of its $5 par value common stock for the treasury at a cash price of $9 per share. On September 1, it sells 300 shares of the treasury stock for cash...
-
12. A Eurodollar loan is a(n): a. ECU-denominated loan issued by a U.S. bank. b. dollar-denominated loan payable to a European bank. c. ECU-denominated loan that is subject to banking regulations in...
-
Two signals m1 (t) and m2(1), both band-limited to 5000 Hz, aretobetransmitted simultaneously over a channel by the multiplexing scheme shown in Fig. P4.2-8. The signal at point b is the multiplexed...
-
A coin is tossed two independent times, each resulting in a tail (T) or a head (H). The sample space consists of four ordered pairs: TT, TH, HT, HH. Making certain assumptions, compute the...
-
A bowl contains three red (R) balls and seven white (W) balls of exactly the same size and shape. Select balls successively at random and with replacement so that the events of white on the first...
-
How would the process of generating a cash disbursements journal from the REA data model presented in Figure and Table differ from the process for creating a salesjournal? TABLE 18-1 Table Names and...
-
Suppose that a monopoly owns two oil fields. Both field have identical marginal extraction costs given by MC = 19 +5* Q where MC is given in dollars per barrel and Q is the quantity produced given in...
-
Describe how the gender wage gap is measured. Highlight the main findings in terms of the size of gender wage gap and the pattern of change in Canada over the period between 1988 and 2008. Briefly...
-
1) Facebook Analytics help businesses trace a specific user across all of their browsers and devices when signed on to Facebook. This information leads to targeted online marketing campaigns. Given...
-
Can you demonstrate the contrasting approaches of Neoclassical and Keynesian economists to a common issue? Despite their divergent perspectives, they eventually collaborated on a comprehensive theory...
-
1: Why do auditors use the audit risk model when planning an audit? If audit evidence was gathered and evaluated and an auditor decides to increase the assessed level of control risk from that...
-
The difference map : Cn Cn is defined as = S - I, where S is the shift map of Exercise 8.2.13. (a) Write down the matrix corresponding to A. (b) Prove that the sampled exponential vectors w0,...
-
On January 1, 2018, Khalid Ltd., which follows IAS 17, entered into an eight-year lease agreement for three dryers. Annual lease payments for the equipment are $28,500 at the beginning of each lease...
-
Let Y be a random variable whose pdf is given by fY (y) =5y4, 0 y 1. Use Theorem 3.6.1 to find Var(Y).
-
Suppose that Y is an exponential random variable, so fY (y) =ey, y 0. Show that the variance of Y is 1/2.
-
Suppose that Y is an exponential random variable with = 2 (recall Question 3.6.11). Find P[Y > E(Y) + 2 Var(Y)].
-
Solutions Inc. signs a 10-year lease for a building owned by Property Inc. that is appropriately classified as an operating lease by both the lessee and lessor. Lease payments are $150,000 per year....
-
1] The following information is available for Blasser Company. In preparation of the Statement of Cash Flows Net Income Depreciation Expense $187,500 $49,500 Loss on sale of equipment $3,000 Increase...
-
Wagner Enterprise sells two products, large tractors and small tractors. A large tractor sells for $62,000 per unit with variable costs of $28,520 per unit. Small tractors sell for $34,000 per unit...
Study smarter with the SolutionInn App