Let X Norm(, 2 ). Show that E[X] = .

Question:

Let X ∼ Norm(μ, σ²). Show that E[X] = μ.

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

Step by Step Answer:

Related Book For book-img-for-question

Probability With Applications and R

ISBN: 978-1118241257

1st edition

Authors: Robert P. Dobrow

See More Books

Question Posted: Nov 19, 2018 09:26 AM

See More Questions

Let the random variable X be normally distributed with mean 0 and variance 2. Show that E(X(2k + 1)) = 0, where k = 0, 1, 2,....
Let E be a set in Rm. For each u: E R which has second-order partial derivatives on E, Laplace's equation is defined by a) Show that if u is C2 on E, then Îu = (u) on E. b) Show that if E R3...
Let e be a line through the origin in R2, Pl the linear transformation that projects a vector onto l, and Fl the transformation that reflects a vector in l. (a) Draw diagrams to show that Fl is...
ABC Corporation earned $300,000 in profit in the current tax year, which is significantly higher than its previous year's earnings. Thus, its shareholders expected large dividends in the current...
Suppose that in 2017, a typical U.S. student attending a state-supported college bought 10 textbooks at a price of $100 per book and enrolled in 25 credit hours of coursework at a price of $360 per...
Refer to figure 14.28 and the chapter content to answer the following questions. 1. Review the Survey the Landscape figure in the chapter introduction and then add phylogenetic trees, species,...
The results of a wind tunnel test to determine the drag on a body (see Fig. P5.65) are summarized below. The upstream [section (1)] velocity is uniform at $100 \mathrm{ft} / \mathrm{s}$. The static...
The AICPA provides a free Excel spreadsheet pro-gram that can be used to test data for consistency with Benfords Law. A link to this spreadsheet is available at www.pearsonhighered.com/rufus....
Dexter Technology maintains its records using cash-basis accounting. Consider the following: . During the year, the company received cash from customers, $35,000, and paid cash for salaries, $21,000....
Companies prepare balance sheets in order to know their financial position at a specific point in time. This enables them to make a comparison to their position at previous points in time, and gives...
The SAT exam is a composite of three examsin reading, math, and writing. For 2011 college-bound high school seniors, Table 7.2 gives the mean and standard deviation of the three exams. The data are...
Find all the inflection points of a normal density curve. Show how this information can be used to draw a normal curve given values of and .
A wet cooling tower is to cool 50 kg/s of water from 38oC to 24oC. Atmospheric air enters the tower at 1 atm with dry and wet-bulb temperatures of 20oC and 15oC, respectively, and leaves at 32oC with...
Some fusion reactors use an induction process in which thermal neutrons collide with deuterium particles that are essentially twice as massive ( consisting of one proton and one neutron ) . Consider...
Q5. You are saving for junior's college is 18 years. You are saving $350 a month a you have secured an annual rate of 6%. How much will Junior have for college tuition? (Hint: Use PMT formula and...
Many investors believe the slope of yield curve is a leading economic indicator. Do you agree? Why? https://home.treasury.gov/policy-issues/financing-the-government/interest-rate-statistics?
Consider that you have a recorder that is 44 cm long, and that when all finger holes are covered it plays an "F4 " that as you can see in the chart has a frequency of 349 Hz . ( the middle column is...
Your friend must make a $1,000 charge on his credit card to pay for car repairs and can only make the minimum payment for the next 3 months. Assume an APR of 15.99% and a required minimum payment of...
Hospital admissions for asthma in children younger than 15 years was studied in Scotland both before and after comprehensive smoke-free legislation was passed in March 2006. Monthly records were kept...
Linda Lopez opened a beauty studio, Lindas Salon, on January 2, 2011. The salon also sells beauty supplies. In January 2012, Lopez realized she had never filed any tax reports for her business and...
Compare the inferences you made from the procedures in Problems 7.39, 7.40, and 7.41? The standard deviation of daily iron intake in the larger population of 9- to 11-year-old boys was 5.56 mg. We...
What is the estimated sensitivity of the test? General Suppose a new test is proposed to identify patients with a specific condition. One specimen is obtained from each of 220 subjects in the...
Provide a 95% CI for the sensitivity? General Suppose a new test is proposed to identify patients with a specific condition. One specimen is obtained from each of 220 subjects in the population to...
Discuss with examples about financial innovation& how it develops banking industry?
Elaborate with real world examples about different financial markets that contributed towards growth of financial sector?
The following statement of financial position is for the partnership of Able, Brown, and Crown at November 1, 2018. Assets Liabilities Cash $ 20,000 Accounts payable $ 50,000 Other assets 180,000...

Let X Norm(, 2 ). Show that E[X] = .

Question:

Step by Step Answer:

Let t x to obtain ...View the full answer

Probability With Applications and R

Students also viewed these Mathematics questions