Let X be a random variable with E(X) mu and V (X) sigma 2 Show that the function f(x) defined by f ia) () ) p) f(x)...

Let X be a random variable with E(X) = μ and V (X) = σ2. Show that

Question:

Let X be a random variable with E(X) = μ and V (X) = σ2. Show that the function f(x) defined by

Has its minimum value when x = μ.

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

Step by Step Answer:

Related Book For book-img-for-question

Statistical Inference

ISBN: 978-0534243128

2nd edition

Authors: George Casella, Roger L. Berger

See More Books

Question Posted: Apr 06, 2010 11:41 PM

See More Questions

Let X be a random variable with quantile function F1. Assume the following three conditions: (i) F1(p) = c for all p in the interval (p0, p1), (ii) either p0 = 0 or F1(p0) < c, and (iii) either p1 =...
Let X be a random variable with density (a) What value of K will make fX(y) a true density? (b) What is the CDF of X? (c) Find E(2X 1). (d) Find variance (X). (e) Find the approximate value of P{Xbar...
Let X be a random variable with geometric pdf (a) Find E(X) and Var(X). (b) Show that f(x) = p(1-p)-, x=1,2,3, ..
Find RL for maximum power transfer and the maximum power that can be transferred to the load in the circuit in figure. 1 mA 1 kn 2 mA RL 0.5 kn 1 kn 2 mA +)6 V
1. How many three-digit numbers are there in which no two digits are alike? 2. How many different pitcher-catcher pairs can be formed? 3. In how many ways can the six players be seated in a row if no...
Under SFAS No. 13, leases that do not meet one of the four criteria for a capital lease are treated as operating leases. Team 1: Argue for the capitalization of leases that do not meet any of the...
Calculate P/V Ratio from the following information: Year Sales Profit Rs. Rs. 2006 6,00,000 90,000 2007 8,00,000 1,20,000
Suppose there are only two people in society. The demand curve for person A for mosquito control is given by qA = 100 P For person B, the demand curve for mosquito control is given by qB = 200 P a....
I need some help with this please and thank you! Question 19 Oriole Company manufactures one product. On December 31, 2019, Oriole adopted the dollar-value LIFO inventory method. The inventory on...
Consider the torsional mechanical system in Figure CP4.7(a). The torque due to the twisting of the shaft is -kÎ¸; the damping torque due to the braking device is -bÎ¸; the...
Let X be a random variable taking on values a1, a2, . . . , pr with probabilities p1, p2, . . . , pr and with E(X) = μ. Define the spread of X as follows: This, like the standard deviation, is a...
If X and Y are any two random variables, then the covariance of X and Y is defined by Cov(X, Y) = E ((X E(X))(Y E(Y ))). That Cov(X, X) = V (X). Show that, if X and Y are independent, then Cov(X, Y)...
IAS 1 Presentation of Financial Statements requires other comprehensive income items to be included in the statement of comprehensive income and it also requires a statement of changes in equity....
On July 1, 2021, P Company borrowed P160,000 to purchase 80 percent of the outstanding common stock of S Company. This loan, carrying a 10 percent annual rate, is payable in 8 annual installments...
Case Analysis Strategic leaders, being at the highest level of an organization, are responsible for charting its path to success. They visualize an ideal picture of their enterprise in a futuristic...
3 Refrigerant-134a enters a adiabatic compressor at 100 kPa and -24C with a flow rate of 1.300 m/min and leaves at 800 kPa and 60C. Determine the mass flow rate of R-134a and the power input to the...
The following trial balance of Bramble Traveler Corporation does not balance. Bramble Traveler Corporation Trial Balance April 30, 2025 Debit Credit Cash $6,221 Accounts Receivable 5,350 Supplies...
From this analysis, we can see than the actual number of unit produced was actually less than the forecasted, yet the actual revenue gain from were greater than the forecasted one. This situation...
What Is Deductive Reasoning?
Describe the general ways that the revised Form 990, applicable for tax year 2008 and beyond, is different from previous versions.
Do network effects apply in nontech areas? Give examples.
ABC Company engaged in the following transaction in October 2 0 1 7 Oct 7 Sold Merchandise on credit to L Barrett $ 6 0 0 0 8 Purchased merchandise on credit from Bennett Company $ 1 2 , 0 0 0 . 9...
Lime Corporation, with E & P of $500,000, distributes land (worth $300,000, adjusted basis of $350,000) to Harry, its sole shareholder. The land is subject to a liability of $120,000, which Harry...
A comic store began operations in 2018 and, although it is incorporated as a limited liability company, it decided to be taxed as a corporation. In its first year, the comic store broke even. In...

Let X be a random variable with E(X) = μ and V (X) = σ2. Show that

Question:

f ia)-Σχ(ω) - )"pω) f(x)

Step by Step Answer:

fx 2xw xpw 2 pw 2x 2 ...View the full answer

Statistical Inference

Students also viewed these Statistics questions