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: 55% (9 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.
-
Assume you are a new hire in the accounting department of an organization. One of your responsibilities is the reconciliation of the operating account. After the end of the month you are given a copy...
-
In August 2014, Superior Structures of Ohio, LLC, and its president, Ryan Villhauer, applied for credit with Willoughby Supply Company, Inc. The application contained a section providing for a...
-
1. What fraud symptoms are present in this scenario? 2. Is it possible to know from the information above that Mark is committing fraud at the credit union? 3. What is one reasonable action the...
-
Discuss the effects of all five major accounting assumptions on the accounting process
-
Spa Ariana promotes itself as an upscale spa offering a variety of treatments, including massages, facials, and manicures, performed in a luxurious setting by qualified therapists. The owners of Spa...
-
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...
-
The dimensions of a rectangular box are given to be 10.2 cm 43.7 cm 9.56 10 2 mm. What is its volume in liters? Be careful! The units are not all the same.
-
Daisy's Dolls sold 30,000 dolls this year. Each doll sold for $40 and had a variable cost of $19. Fixed expenses were $250,000. Net operating income for the yea is O $380,000 O $630,000 O $(249,979)...
-
An unexpected change in raw materials costs would likely affect the labor quantity materials price labor price materials quantity variance
-
An entity that uses special journals acquired merchandise by signing notes. In which journal would the transaction be recorded? Select one: a. Invoice register b. Sales journal c. General journal d....
-
Lucy has to move data from column a to column n in a worksheet. Which keys should she select to move data in the same worksheet
-
Three commonly used productitvity variables are Group of answer choices technology, raw materials, and labor quality, efficiency, and low cost. labor, capital, and management. education, diet, and...
-
Set A = triu(ones(5)) * trill one s(S). If L dcnoc, the linear operator defined L(x) = Ax for all x in Rn. then A is the matrix representing L. with respect to the standard basis for R5. Construct a...
-
What are some of the various ways to implement an awareness program?
-
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,...
-
ious Write an equation modeled by the envelopes and counters, and then solve the equation. (Hint: Let x be the contents of the envelope.) Provide your answer below: equation: x + = solution: x=
-
Side EF of square DEFG has a length of 2 cm and is also the radius of circle F. What is the area of the entire shaded region? Provide all evidence of your calculations. D 2 cm
-
Suppose that you deposit $1,050 each week into a special savings account. The bank takes 4% from your total savings for service fees just before you make a deposit. A discrete-time dynamical system...
Study smarter with the SolutionInn App