Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 6.3, Problem 6.35E
Using the hypergeometric distribution, with
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The probability mass function of X = the number of major defects in an electrical appliance of a randomly selected type is:
Calculate the following:a) E (X)b) V (X) directly from the definition
When calculating all the values of a hypergeomet-ric distribution, the work can often be simplified by
first calculating h(0; n, N, M) and then using the recur-sion formula
h(x + 1; n, N, M) = (n − x)(M − x)(x + 1)(N − M − n + x + 1)· h(x; n, N, M)
Verify this formula and use it to calculate the values ofthe hypergeometric distribution with n = 4, N = 9, andM = 5.
Consider the Prelec function w(p) = e−1.7(− ln p)0.75 . Consider only interior fixed points (so ignore the fixed points w(0) = 0 and w(1) =1). Let pe be the probability corresponding to the point of inflection and p∗the fixed point. What is the relation between the fixed point and the point ofinflection?
Chapter 6 Solutions
Introduction to Business Statistics
Ch. 6.1 - Prob. 6.1ECh. 6.1 - Indicate whether each of the following random...Ch. 6.1 - Indicate whether each of the following random...Ch. 6.1 - Prob. 6.4ECh. 6.1 - Prob. 6.5ECh. 6.1 - Determine the mean, variance, and standard...Ch. 6.1 - Determine the mean, variance, and standard...Ch. 6.1 - Prob. 6.8ECh. 6.1 - Prob. 6.9ECh. 6.1 - Prob. 6.10E
Ch. 6.1 - A consultant has presented his client with three...Ch. 6.1 - Prob. 6.12ECh. 6.1 - Prob. 6.13ECh. 6.1 - Laura McCarthy, the owner of Riverside Bakery, has...Ch. 6.1 - In 2007, nearly 24 million tons of steel mill...Ch. 6.2 - What is necessary for a process to be considered a...Ch. 6.2 - When we are sampling without replacement, under...Ch. 6.2 - Prob. 6.18ECh. 6.2 - Prob. 6.19ECh. 6.2 - A city law-enforcement official has stated that...Ch. 6.2 - Prob. 6.21ECh. 6.2 - According to the National Marine Manufacturers...Ch. 6.2 - In the town of Hickoryville, an adult citizen has...Ch. 6.2 - It has been reported that the overall graduation...Ch. 6.2 - Prob. 6.25ECh. 6.2 - The U.S. Department of Labor has reported that 30%...Ch. 6.2 - Alicia’s schedule includes three Tuesday/Thursday...Ch. 6.2 - OfficeQuip is a small office supply firm that is...Ch. 6.2 - Four wheel bearings are to be replaced on a...Ch. 6.2 - It has been estimated that one in five Americans...Ch. 6.2 - Airlines book more seats than arc actually...Ch. 6.2 - Every day, artists at Arnold’s House of Fine...Ch. 6.3 - Under what circumstances should the hypergeometric...Ch. 6.3 - Using the hypergeometric distribution, with...Ch. 6.3 - Using the hypergeometric distribution, with...Ch. 6.3 - In a criminal trial, there are 25 persons who have...Ch. 6.3 - A computer firm must send a group of three...Ch. 6.3 - Prob. 6.38ECh. 6.4 - Prob. 6.39ECh. 6.4 - Prob. 6.40ECh. 6.4 - Prob. 6.41ECh. 6.4 - Prob. 6.42ECh. 6.4 - The U.S. divorce rate has been reported as 3.6...Ch. 6.4 - During the 12 P.M.-1 P.M. noon hour, arrivals at a...Ch. 6.4 - During the winter heating season in a northern...Ch. 6.4 - Prob. 6.46ECh. 6.4 - Prob. 6.47ECh. 6.4 - Prob. 6.48ECh. 6.4 - Prob. 6.49ECh. 6.4 - A manufacturing plant’s main production line...Ch. 6.4 - Prob. 6.51ECh. 6 - The owner of a charter fishing boat has found that...Ch. 6 - Prob. 6.55CECh. 6 - Prob. 6.56CECh. 6 - Prob. 6.57CECh. 6 - Prob. 6.58CECh. 6 - Prob. 6.59CECh. 6 - Prob. 6.60CECh. 6 - A mining company finds that daily lost-work...Ch. 6 - Prob. 6.62CECh. 6 - Prob. 6.63CECh. 6 - Prob. 6.64CECh. 6 - Prob. 6.65CECh. 6 - Seven of the 15 campus police officers available...Ch. 6 - Prob. 6.67CECh. 6 - Prob. 6.68CECh. 6 - Prob. 6.69CECh. 6 - Prob. 6.70CECh. 6 - Prob. 6.71CECh. 6 - Prob. 6.72CECh. 6 - Prob. 6.73CECh. 6 - Prob. 6.74CECh. 6 - Prob. 6.75CECh. 6 - Prob. 6.76CECh. 6 - Prob. 6.77CECh. 6 - Prob. 6.78CECh. 6 - Prob. 6.79CECh. 6 - Prob. 6.80CE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Let T have an exponential distribution with parameter λ. Let Y = √T .a) Find the density of Y .b) Find the expectation of Y , correct to two decimal places, for λ = 3arrow_forward1.Given t distribution, find values of t(5)0.2 2.explain the relations between them with Z0.2arrow_forwardCompute the mean and standard deviation for the following hypergeometric distributions. a. n=5, N=8, and E=6 b. n=4, N=5, and E=3 c. n=5, N=13, and E=4 d. n=3, N=11, and E=3arrow_forward
- Let f be the pdf of X, where c is a constant (see in photo) Solve for the value of c that will make the PDF a valid distribution of Xarrow_forwardFind the value of t for a t-distribution with 15 degrees of freedom such that the area to the left of t equals 0.05. Round your answer to three decimal places, if necessary.arrow_forwardFind the value of t for a t-distribution with 24 degrees of freedom such that the area to the left of tt equals 0.010. Round your answer to three decimal places, if necessary.arrow_forward
- Consider the value of t such that the area to the left of −|t|−| plus the area to the right of |t| equals 0.05 Step 2 of 2 : Assuming the degrees of freedom equals 4, select the t-value from the t-distribution table.arrow_forwardFind the value of t for a t-distribution with 26 degrees of freedom such that the area to the left of −t plus the area to the right of tt equals 0.02 Round your answer to three decimal places, if necessary.arrow_forwardLet X have a uniform distribution on the interval [A, B].a. Obtain an expression for the (100p)th percentile.b. Compute E(X), V(X), and sX.c. For n, a positive integer, compute E(Xn).arrow_forward
- The distance, X, between consecutive anomalies on long cable has an exponential distribution with mean 12 meters. Thus, the density of X is:: f(x,?) = ? e−?x for 0 ≤ x ≤ ∞, ? = 1 12 . ? is what R calls rate.Hint: This is a problem involving the exponential distribution. Knowing the parameter ? for the distribution allows you to easily answer parts a ,b ,c and use the built-in R functions for the exponential distribution (dexp(), pexp(), qexp()) for other parts . Or (not recommended) you should be able to use the R integrate command with f(x) defined as above or with dexp() for all parts. ) What is the probability that X is larger than its expected value? e) What is the probability that X is > 13? f) What is the probability that X is > 14? g) What is the probability that X > 14 given that X > 13? h) What is the median of X?arrow_forwardThe distance, X, between consecutive anomalies on long cable has an exponential distribution with mean 12 meters. Thus, the density of X is:: f(x,?) = ? e−?x for 0 ≤ x ≤ ∞, ? = 1 12 . ? is what R calls rate.Hint: This is a problem involving the exponential distribution. Knowing the parameter ? for the distribution allows you to easily answer parts a ,b ,c and use the built-in R functions for the exponential distribution (dexp(), pexp(), qexp()) for other parts . Or (not recommended) you should be able to use the R integrate command with f(x) defined as above or with dexp() for all parts.a) What is the expected value of X? b) What is the variance of X? c) What is the standard deviation of X? d) What is the probability that X is larger than its expected value? e) What is the probability that X is > 13? f) What is the probability that X is > 14? g) What is the probability that X > 14 given that X > 13? h) What is the median of X? l) Enter any comments in the…arrow_forwardFrom the density below the probability that X is at least 0.34 is what?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Continuous Probability Distributions - Basic Introduction; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=QxqxdQ_g2uw;License: Standard YouTube License, CC-BY
Probability Density Function (p.d.f.) Finding k (Part 1) | ExamSolutions; Author: ExamSolutions;https://www.youtube.com/watch?v=RsuS2ehsTDM;License: Standard YouTube License, CC-BY
Find the value of k so that the Function is a Probability Density Function; Author: The Math Sorcerer;https://www.youtube.com/watch?v=QqoCZWrVnbA;License: Standard Youtube License