Let (X_{1}, X_{2}, ldots, X_{20}) be independent and let each have the same marginal distribution with mean

Question:

Let $X_{1}, X_{2}, \ldots, X_{20}$ be independent and let each have the same marginal distribution with mean 10 and variance 3. Find

(a) $E\left(X_{1}+X_{2}+\cdots+X_{20}\right)$;

(b) $\operatorname{Var}\left(X_{1}+X_{2}+\cdots+X_{20}\right)$.

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

Step by Step Answer:

Related Book For book-img-for-question

Probability And Statistics For Engineers

ISBN: 9780134435688

9th Global Edition

Authors: Richard Johnson, Irwin Miller, John Freund

See More Books

Question Posted: Apr 23, 2024 07:00 AM

See More Questions

Using a 365 day count for 1 year, for a normally distributed portfolio size of $200 million with standard deviation of 20%, compute: i. 1-day 97.5% VaR ii. 9-day 97.5% VaR iii. 1-day 90% VaR iv....
Let $X_{1}, X_{2}, \ldots, X_{50}$ be independent and let each have the same marginal distribution with mean -5 and variance 8 . Find (a) $E\left(X_{1}+X_{2}+\cdots+X_{50} ight)$; (b)...
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
What is your perspective on changes in cultural ideals for the female body from that of Marilyn Monroe in the 1950s to top models today?
A replacement part for a machine must be produced within close specifications in order for it to be acceptable to customers. A random sample of 20 parts drawn from a normally distributed population...
Aluminum wire with a mass per unit length of 0.049 kg/m is used to form the circle and the straight members of the figure shown. Determine the mass moment of inertia of the assembly with respect to...
In a random sample of 160 workers exposed to a certain amount of radiation, 24 experienced some ill effects. Construct a $99 \%$ confidence interval for the corresponding true percentage using the...
1. Workpaper entries normally: a. Are posted to the general ledger accounts of one or more of the affiliates b. Are posted to the general ledger accounts only when the financial statement approach is...
Please provide a handwitten explination to solve the following. 1. What is the wavlength of a 3.3 MHz sound in soft tissue? What is the frequency of an unknown wavelength traveling in soft tissue? 2....
Let $f(x)=0.2$ for $x=0,1,2,3,4$. (a) Find the moment generating function. (b) Obtain $E(X)$ and $E\left(X^{2} ight)$ by differentiating the moment generating function.
The time taken by a traditional nuclear reactor to generate one nuclear chain reaction with fast neutrons, $X_{1}$, has mean 10 nanoseconds and variance 4 , while the time taken by an improved...
Explain how the direct material conversion and total cost per equivalent unit shown in Exhibit 5.3 were calculated.
1. Figure (a) shows the Staubli 6R robot, with its zero configuration shown in Figure (b). Draw appropriate link reference frames, and derive the Denavit-Hartenberg parameters. STUBLI TX40 STUBLI (a)...
5) Assume that the composite in a composite beam is carbon fiber reinforced epoxy with a fiber volume fraction of 60%. To minimize the cost, assume that the carbon fibers are being replaced by an...
Question 2. A horizontal "hot air blower" consists of a fan, a heating coil and an exit nozzle as shown. gure 2: Blower schematic. The power of the fan is 55 W and the power to the heating coil is...
Water (density 1000 kg m-3) flows from one tank to another one 20 m lower. If there is no friction, at what velocity (m s-1) does the water enter the second tank? Assume gravity on your planet is 10...
A Pitot tube can be installed in the prow or on the side of a boat to measure its speed. If a pressure sensor with a resolution of 1000 Pa and a range from 0 to 50,000 Pa is used, and assuming a...
Determine the hfg of refrigerant-134a at 50F on the basis of (a) The Clapeyron equation and (b) The Clapeyron-Clausius equation. Compare your results to the tabulated hfg value.
Write the statement to store the contents of the txtAge control in an Integer variable named intAge.
1. Look for as many theories and concepts from your textbook (Leadership in the Global Context) that are relevant to a phase of your Life Design Program and Ledership Develop Program. 2. Draw as many...
Comprehensive Problem: Reviewing the Accounting Cycle Talbot Riding Stables provides stables, care for animals, and grounds for riding and showing horses. The account balances at the beginning of...
Required Information Use the following Information for the Exercises 8-10 below. (Algo) [The following information applies to the questions displayed below.] Hemming Company reported the following...

Let (X_{1}, X_{2}, ldots, X_{20}) be independent and let each have the same marginal distribution with mean

Question:

Step by Step Answer:

Probability And Statistics For Engineers

Students also viewed these Business questions