Show that the mean of a hypergeometric random variable Y is = nr/N. Show that and
Question:
Show that the mean of a hypergeometric random variable Y is μ = nr/N. Show that
and then use the fact that
is the hypergeometric probability distribution for Z = (Y - 1), where Z is the number of S’s in (n - 1) trials, with a total of (r - 1) S’s in (N - 1) elements.]
Transcribed Image Text:
(N 1-(r-1)) - 1- (у — 1)/ nr N N. N-
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
To show that the mean of a hypergeometric random variable Y is nrN we can use the definition of the mean for a discrete random variable The hypergeome...View the full answer
Answered By
Ragul r
I am highly experienced and dedicated educator with a passion for teaching students of all ages. With over
4 years of experience in education and tutoring, I have helped countless students achieve their academic goals in subjects such as math and science.
My journey in education began with a Bachelor's degree in from Maseno University, where I developed a strong foundation in critical thinking and problem-solving skills that have proved invaluable in my teaching career.
I am committed in helping your students in IT and various topics in sciences and math
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
-
Show that the mean of the two solutions provided by the quadratic formula is - b/2(. Explain what this tells you about a graph.
-
The cdf of a discrete random variable Y is given in the following table: (a) Find EY, EY2, EY3, and Var (Y). (b) Find the mgf of Y. -1 -1 0.15 Fiy) 0.1 0.4 0.8
-
The cdf for a random variable Y is defined by FY (y) = 0 for y < 0; FY (y) = 4y3 3y4 for 0 y 1; and FY (y) =1 for y>1. Find P (1/4 Y 3 4) by integrating fY (y).
-
Which is false? The Chinese government is reluctant to let the yuan appreciate against the US dollar because: Appreciation of the yuan would increase the price of real estate for young Chinese...
-
Describe the reasons organizational members may resist change.
-
Gibson Company is considering adding a new product. The cost accountant has provided the following data: Expected variable cost of manufacturing Expected annual fixed manufacturing costs $ 43 per...
-
You believe that your education is important to have longevity in the fashion industry. Do you have any advice for future fashion management graduates? LO.1
-
To prepare the statement of cash flows, accountants for Daisy Electric Company have summarized 2010 activity in two accounts as follows: Daisys 2010 income statement and balance sheet data follow:...
-
2223 Which of the following is not an example of a debit memo on a bank statement? Customer's NSF chock All of these are examples of a debit memo, Collection of a customer's receivable by the bank O...
-
Select all that apply Actual output is used for variance calculations because Blank______. Multiple select question. budgeted output although useful for planning is outdated for analyzing performance...
-
U.S. airlines average about 1.6 fatalities per month. (Statistical Abstract of the United States: 2010.) Assume the probability distribution for Y, the number of fatalities per month, can be...
-
An article in The American Statistician (May 1991) described the use of probability in a reverse cocaine sting. Police in a midsize Florida city seized 496 foil packets in a cocaine bust. To convict...
-
In 2007, a sharp downturn in the U.S. housing market reduced the income of many who worked in the American home construction industry. In October of that year, a Conference Board of Canada report...
-
Silver Company makes a product that is very popular as a Mothers Day gift. Thus, peak sales occur in May of each year, as shown in the companys sales budget for the second quarter given below: April...
-
Among the following statements, select the ones which have a positive environmental impact. Choose several answers Minimising the impact of a product on the environment Avoiding the destruction of a...
-
Developing Financial Statements: All organizations, including those in the healthcare industry, need to make money to be profitable and survive. Financial statements, such as balance sheets, profit...
-
The engineers estimated that on average, fuel costs, assuming existing routes and number of flights stay the same, would decrease by almost 18% from an average of 42,000 gallons of jet fuel per...
-
It's the latest Berkeley trend: raising chickens in a backyard co-op coop. (The chickens cluck with delight at that joke.) It turns out that Berkeley chickens have an unusual property: their weight...
-
Visit SAS.com and search for Visual Data Discovery. a. Review the screenshots, features, and benefits tool? b. In your opinion, what are the two most important benefits of this data discovery c....
-
A manufacturer can sell product 1 at a profit of $20 per unit and product 2 at a profit of $40 per unit. Three units of raw material are needed to manufacture one unit of product 1, and six units of...
-
Chebyshev's inequality, (Exercise 44, Chapter 3), is valid for continuous as well as discrete distributions. It states that for any number k satisfying k 1, P(|X - | k) 1/k2 (see Exercise 44 in...
-
Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose X has approximately a normal distribution with = 25 and = 5. Use the continuity correction...
-
Let X have a binomial distribution with parameters n = 25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p = .5,...
-
Just work out the assignment on your own sheet, you dont need the excel worksheet. Classic Coffee Company Best friends, Nathan and Cody, decided to start their own business which would bring great...
-
Financial information related to the proprietorship of Ebony Interiors for February and March 2019 is as follows: February 29, 2019 March 31, 2019 Accounts payable $310,000 $400,000 Accounts...
-
(b) The directors of Maureen Company are considering two mutually exclusive investment projects. Both projects concern the purchase of a new plant. The following data are available for each project...
Study smarter with the SolutionInn App