Question: A population has distribution Value Probability 1.............................2 2............................ .6 3............................ .2 Let X1 and X2 be independent and each have the same distribution as the

A population has Probability
1.............................2
2............................ .6
3............................ .2
Let X1 and X2 be independent and each have the same as the population.
(a) Determine the missing elements in the table for the sampling of = (X1 + X2)/2.

(b) Find the expected value of .
(c) If the sample size is increased to 81, give the mean and variance of .

Probability 1.0 1.5 2.0 2.5 3.0 -44 24

Step by Step Solution

★★★★★

3.46 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b c All possible samples x1 x2 and the corresponding x values and probabilities are ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

880-M-S-L-R (7714).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Consider these data on the selling prices ($000) of homes in the city of Warren, Pennsylvania, last year. a. What is the class interval? b. How many homes were sold last year? c. How many homes sold...

A population has distribution Value Probability 0.............................7 2............................ .1 4............................ .2 Let X1 and X2 be independent and each have the same...

Suppose the number of different computers used by a student last week has distribution Value Probability 0..............................3 1............................. .4...

A population has distribution Value Probability 1........................6 3....................... .3 5........................1 Let X1 and X2 be independent and each have the same distribution as...

Determine if the given statements in (1)-(10) are true or false (circle your answer). 1. For independent random variables X and Y , we have that Var(X+ Y ) = Var(X) + Var(Y ). 2. Let Y = 3X1 + 2X2...

Please help with this problem. Thanks. 2 Regret of Explore-thenCommit In this problem, we analyze the regret of the Explore-thenCommit algorithm for the multi- armedbandit (MAB) problem. We consider...

PSTAT W120A, Summer 2016 Assignment 5.B Due Monday Sep. 5 Directions: Please write up your solutions and submit them on GauchoSpace by the end of the day on Monday. We prefer the submission to be...

Exercise 5.21: (a) Let f (n) be the expected number of random edges that must be added before an empty undirected graph with n vertices becomes connected. (Connectedness is deined in Exercise 5.19.)...

4.35. Let X1 and X2 be independent random variables that are chi-square distributed with v1 and v2 degrees of freedom, respectively, (a) Show that the moment generating function of Z X1 X2 is ,...

Exercise 9 (#2.22). Let (Yi, Zi), i = 1,...,n, be independent and iden- tically distributed random 2-vectors. The sample correlation coefficient is defined to be T = (n - 1)SYSz SM - D)(Z - Z). where...

STAT 67, Fall 2016 Homework 5 11-29-2016 1. Say you have n = 100 many Xi 's, where the Xi 's are independent and identically distributed Bernoulli random variables with p = 0.5 (E(X)=p and...

A commercial paper note with $1 million par value and maturing in 60 days has an expected discount return (DR) at maturity of 6 percent. What was its purchase price? What is this note's expected...

On February 1, 20X1, Hills Company had 10,000 pounds of inventory costing $1.50 per pound; the market value per pound was $1.95 on this date. Hills entered into a futures contract to sell the 10,000...

The IMA's ethical standard of confidentiality does NOT require each member to _ _ _ _ _ _ _ _ . Question content area bottom Part 1 A . keep information confidential except when disclosure is...

You are the Chief Audit Executive for the University of Great Grads ("UGG") and you have asked the Internal Audit Manager on your team to draft an internal audit charter You are reviewing the...

If a depository institution is experiencing more deposits than it needs to make loans or invest in securities, it can lend its excess funds to another depository institution through the..?

Think about Economics from the macro, worldwide level as well as the micro level After you have viewed to the above Answer the questions below in the Discussion Thread Remember, this is week 1 and we...

One idea that the consultant had was to reduce prices to bring in more customers. If average prices were reduced ten percent (10%), and the number of sales tickets (unit sales) increased to 7,5000,...

Using AHP analysis, select the best vacation home based on the four decision criteria and their associated priorities/weights listed below. Vacation property A is a 3-hour drive from home, has...

1. Matrix A is an example of which correlation structure?

Suppose that the number of customers arriving each hour at the only checkout counter in a local pharmacy is approximately Poisson distributed with an expected arrival rate of 20 customers per hour....

Suppose the number of baskets scored by the Indiana University basketball team in one minute follows a Poisson distribution with = 1.5. In a 10-minute span of time, what is the probability that...

Suppose that the times between arrivals at a bank during the peak period of the day are exponentially distributed with a mean of 45 seconds. If you just observed an arrival, what is the probability...

Problem 5-17 Comparing Investment Criteria The treasurer of Amaro Canned Fruits, Inc., has projected the cash flows of projects A, B, and C as follows: Year Project A Project B Project C 0 $ 185,000...

A box contains twelve tickets, labeled with the numbers 5, 7, 10, 12, 14, 16, 24, 29, 33, 38, 39, 45.The normal approximation to the chance that the sum of 60 draws with replacement from this box is...

Kaleb Konstruction, Inc., has the following mutually exclusive projects available. The company has historically used a three-year cutoff for projects. The required return is 13 percent. Year Project...