Let X be a random variable having finite expectation and variance 2 , and let
Question:
Let X be a random variable having finite expectation μ and variance σ2, and let g(∙) be a twice differentiable function. Show that
Expand g(∙) in a Taylor series about μ. Use the first three terms and ignore the remainder.
Transcribed Image Text:
g" (μ)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 58% (12 reviews)
gX g gX g X 2 2 ...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Statistics questions
-
Let X be a random variable having expected value and variance 2. Find the expected value and variance of Y = X - /
-
Let X be a random variable having the binomial distribution with parameters n = 7 and p = 1/4, and let Y be a random variable having the binomial distribution with parameters n = 5 and p = 1/2.Which...
-
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 the nth, or general, term. a. 1, 3, 9,...... b. 25, 5, 1,....... c. 1, -1, 1, -1, .....
-
Construct a vertical bar chart for the total number of hurricanes by month from 1851 to 2008. May...........18 June............79 July .............101 August ............344 September ..........459...
-
1. Many hotel jobs are inherently dead end; for example, maids, laundry workers, and valets, for instance, either have no great aspirations to move up, or are just using these jobs temporarily, for...
-
It is desired to find the value f0.99 for an F10,5 distribution. Use Table A.5 and the F5,10 distribution to find this value. Table A.5 Critical Values for the F Distribution Area Denominator Degrees...
-
Jerome is an elderly man who lives with his nephew, Philip. Jerome is totally dependent on Philips support. Philip tells Jerome that unless Jerome transfers a tract of land he owns to Philip for a...
-
A mechanism for recording the distance covered by the bicycle, as shown in Fig. 15.32, is as follows: There is a fixed annular wheel 4 of 22 teeth and another annular wheel B of 23 teeth, which...
-
X Ltd. has 10 lakhs equity shares outstanding at the beginning of the accounting year 2016. The appropriate P/E ratio for the industry in which D Ltd. is 8.35. The earnings per share is Rs. 15 in the...
-
An urn contains a white and b black balls. After a ball is drawn, it is returned to the urn if it is white; but if it is black, it is replaced by a white ball from another urn. Let Mn denote the...
-
Use the conditional variance formula to determine the variance of a geometric random variable X having parameter p.
-
A student wishes to approximate the distribution of X ~B(240, p) by a continuous random variable Y that has a normal distribution. a. Find the values of p for which: i. Approximating X by Y can be...
-
What can Johnny Tan do to revitalise his distribution channel?
-
Bill Lee retired in the mid-1990s from Triton Energy after leading the Dallas-based oil and gas exploration firm through three turbulent decades. During Lee's tenure, Triton discovered large oil and...
-
What are the main stages in the decision-making process in organisational buyer behaviour?
-
In 1990, David Sokol faced a problem that has stymied the careers of many business executives. \({ }^{1}\) At the time, Sokol served as president of Ogden Projects, Inc., an environmental services...
-
FOF incorporated FOF Proprietary Funds, Ltd. (FOF Prop) as an umbrella for its specialized investment accounts that were managed by outside investment advisers. Each investment adviser had a duty to...
-
From the following Balance Sheet of R S Enterprise Ltd., prepare Cash Flow Statement as per AS----3 and comment on it. Other information available on 31.3.2016: (i) An old furniture (valued at ...
-
In order to get an idea on current buying trends, a real estate agent collects data on 10 recent house sales in the area. Specifically, she notes the number of bedrooms in each house as follows: a....
-
In the book Foundations of Financial Management (7th ed.), Stanley B. Block and Geoffrey A. Hirt discuss a semiconductor firm that is considering two choices: (l) expanding the production of...
-
Five thousand raffle tickets are to be sold at $10 each to benefit a local community group. The prizes, the number of each prize to be given away, and the dollar value of winnings for each prize are...
-
Company A is considering the acquisition of two separate but large companies. Company B and Company C, having sales and assets equal to its own. Table 5.5 gives the probabilities of returns for each...
-
a) Using the returns on the S&P 500 Composite Index as the proxy for the overall stock-market return, estimate the monthly average return, the standard deviation of monthly returns, and a beta for...
-
write a Business case in 3 stages. The Interim document is the 1st stage of this process. Your language needs to be clear, concise, and cohesive across all elements. The interim document adheres to...
-
ACCT2110 Week 11 Statement of Cashflows Additional Exercise 1. Presented below is the income statement of Coming Company: Sales Cost of goods sold Gross profit Operating expenses Income before income...
Study smarter with the SolutionInn App