Prove Theorem 5.1. THEOREM 5.1 Let c be a constant, let Y be a continuous random variable,
Question:
Prove Theorem 5.1.
Transcribed Image Text:
THEOREM 5.1 Let c be a constant, let Y be a continuous random variable, and let g1(Y), g2(Y), ..., gx(Y) be k functions of Y. Then, E(c) = c E(cY) = cE(Y) E[g (Y) + g2(Y) + + g(Y)] = E[g(Y)] + E[g2(Y)] ++ Elgx(Y)] %3D
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 38% (13 reviews)
We will prove each part of the theorem separately Part 1 Ec c Since c is a constant the expe...View the full answer
Answered By
Nithesh M
This is Vijaya Chandra, I was graduated from JNTU Engineering College in Mechanical Engineering. I have always shown a keen interest in physics, which is evident from his exceptional academic record in the subject. During my academic years, I was excelled in physics, consistently achieving high grades and performing well in exams. In addition to academic background, I worked as a tutor for 5 years in local village by helping students of all ages and skill levels achieve their goals. As a tutor, I have taught students of all classes for a period of five years, including graduate-level physics and have a deep understanding of the subject and passion for teaching has allowed me to develop unique teaching methods that make complex concepts easy to understand. I am comfortable working with students one-on-one or in small groups, and I am dedicated to helping them build confidence and succeed in their studies. Outside tutoring, I enjoyed playing cricket and surfing internet browser.
0.00
0 Reviews
10+ Question Solved
Related Book For
Statistics For Engineering And The Sciences
ISBN: 9781498728850
6th Edition
Authors: William M. Mendenhall, Terry L. Sincich
Question Posted:
Students also viewed these Engineering questions
-
Prove Theorem 1 for a 2 Ã 2 stochastic matrix E by first writing it in the form where 0 ¤ a ¤ 1 and 0 ¤ b ¤ 1. E= 1-a 1-b
-
Prove Theorem 5.3.3. Prove that by applying Taylors theorem with remainder (see Exercise 13 in Sec. 4.2) to the function f(x) = log(1 + x) around x = 0. lim n log(+an)-ancn 0
-
Prove Theorem 2.2.4 on page 73. In Theorem 2.2.4 Suppose that A1, A2, and B are events such that Pr(A1 B) > 0. Then A1 and A2 are conditionally independent given B if and only if Pr(A2|A1 B) =...
-
The marketing department for an upscale retail catalog company wants to determine if there are differences in the mean customer purchase amounts across the available purchase sources (Internet,...
-
Karl's preferences over hamburgers (H) and beer (B) are described by the utility function: U(H, B) = min(2H, 3B). His monthly income is I dollars, and he only buys these two goods out of his income....
-
Choose the correct preposition, or none if none is required. When she arrived on campus, she felt truly independent (of/from/none) her parents for the first time.
-
Assume that IHOP sold all 1,000 shares of its treasury stock for \(\$ 15\) per share. The sale of treasury stock a. Decreased total equity by \(\$ 15,000\) b. Increased total equity by \(\$ 5,000\)...
-
Large Land Photo Shop has asked you to determine whether the companys ability to pay current liabilities and total liabilities improved or deteriorated during 2015. To answer this question, you...
-
calculate interest tax shield to numbers of shares outstanding. Interest rate (1) Tax rate Debt/Total Capital Actual 10% 20% 30% 32.5% 6.16% 6.16% 6.16% 6.16% 32.5% 32.5% 32.5% 20,299 19,359 18,419...
-
For the following, look at the market for avocados. Diagram the market and assess the impact of any change on the market clearing price and quantity and diagram the impact upon well-being (Consumer...
-
Prove Theorem 5.2. THEOREM 5.2 Let Y be a continuous random variable with E(Y) = . Then 7 = E[CY p1 = E(Y?) p? %3D
-
Verify that the mean of a beta density with parameters and is given by = /( + ).
-
Show that for a diatomic molecule [Lz, O] 0.
-
A [+45], glass fiber/epoxy matrix laminate (V-0.45) and thickness of each ply is 0.5mm, find it's stiffness matrix of [A], [B] and [D]. 4-2 The laminate in 4-1 is subjected to a load of N N =...
-
Explain why you would want to work for a company that has... (Company A) the annual costs of goods sold of $48 million and the average inventory is $6 million. (Company B) the annual costs of goods...
-
3. A function h: A B is observed to have an inverse function h such that h(x) = x10x4+1 for all x B. Given this information: (a) Compute h (x) for x = 2, 1, 0, 1, 2. (b) Is it possible that B...
-
Vaughn Industries has adopted the following production budget for the first 4 months of 2025. Month Units Month Units January 9,800 March 4,900 February 7,840 April 3,920 Each unit requires 2 pounds...
-
a) Write an assembly program to implement the following instructions. HINT: YOU CAN USE REGISTERS FOR STORING INTERMEDIATE INFORMATION IF NEEDED. EAX, EBX, ECX, EDX, ESI, EDI REGISTERS ARE AVAILABLE....
-
Below is an alphabetical list of the adjusted accounts of Matrix Consulting Services at its year end, March 31, 2017. All accounts have normal balances. Additional Information: 1. Of the notes...
-
Consider the advantages and disadvantages of extending property rights so that everyone would have the right to prevent people imposing any costs on them whatsoever (or charging them to do so).
-
An experiment was carried out to investigate the effect of species (factor A, with I = 4) and grade (factor B, with J = 3) on breaking strength of wood specimens. One observation was made for each...
-
The strength of concrete used in commercial construction tends to vary from one batch to another. Consequently, small test cylinders of concrete sampled from a batch are "cured" for periods up to...
-
For the data of Example 11.5, check the plausibility of assumptions by constructing a normal probability plot of the residuals and a plot of the residuals versus the predicted values, and comment on...
-
An insulated circular ring of diameter 6.50 cm carries a I2 = 12.5 A current and is tangent to a very long, straight insulated wire carrying I = 7.50 A of current, as shown in (Figure 1). Part A Find...
-
Why does Marriott Bonvoy have the best loyalty program relative to the cost associated with the program and the program's overall effectiveness? Justify your selection with specific examples.
-
Assignment - Resultant of Simple Distributed Loads 6 kip 1 kip.ft A 2 ft 3 ft 2 ft 2 ft C Q1. Fig.1 shows the plan of a floor slab with a beam A-C. Determine the equivalent resultar force exerted on...
Study smarter with the SolutionInn App