Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
11th Edition
ISBN: 9780133886818
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter 9.4, Problem 15E
To determine
The probability of winning.
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Answer this please
B1 The x distribution is a special case of Gamma distribution (not to be confused with gamma
function; see below). The density function of the Gamma distribution with parameters
and k is given by
where
-1
e
-x/0
(x) =
=
г(k) Øk
if x > 0, and
otherwise,
г(k) = √ ₁
k-1-x dx
x' e
is the gamma function.
(a) For every k ≥ 1, 0 > 0, find the mode of the density. Hint: The algebra can be
simplified by appropriate use of logarithms.
~
Now suppose that X1,..., Xn id Exp(\) and that we have a prior belief in A which is
consistent with a prior distribution X. Gamma(a, b), for some a, ß, i.e. the prior density
of is
Baxa-1-BA
T(a)
e
=
so 01/ẞ and k = a.
(b) Write down the likelihood, and show that the posterior distribution for \ is also a
Gamma distribution, but with parameters a +n and B + Σ Xi.
(c) Find the mode of the posterior distribution and examine the behaviour as n → ∞.
Find the differential of the function f(x, y) = 2x² - 2xy – 5y² at the point (-6, -5) using Ax = 0.3
and Ay = 0.05.
dz =
Now find Az and compare it to your answer above
Ax=
Hint: If entering a decimal, round to at least 5 places
Chapter 9 Solutions
Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
Ch. 9.1 - For Exercises 1-4, do the following: (a) Group the...Ch. 9.1 - For Exercises 1-4, do the following: (a) Group the...Ch. 9.1 - For Exercises 1-4, do the following: (a) Group the...Ch. 9.1 -
For Exercises 1-4, do the following:
(a) Group...Ch. 9.1 - How does a frequency polygon differ from a...Ch. 9.1 - Discuss the advantages and disadvantages of the...Ch. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Prob. 9ECh. 9.1 - Prob. 10E
Ch. 9.1 - Prob. 11ECh. 9.1 -
Find the mean for each list of numbers.
12....Ch. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Use a graphing calculator or spreadsheet to...Ch. 9.1 -
Find the mode or modes for each list of...Ch. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - When is the median the most appropriate measure of...Ch. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Prob. 35ECh. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 -
38. Salaries The total compensation (in millions...Ch. 9.1 -
39. Household Income The total income for...Ch. 9.1 - Household Income The total income for white...Ch. 9.1 - Prob. 41ECh. 9.1 -
42. Housing Prices An Erie, PA, newspaper...Ch. 9.1 - Prob. 43ECh. 9.1 - Pandas The size of the home ranges (in square...Ch. 9.1 - Blood Types The number of recognized blood types...Ch. 9.1 -
46. Temperature The following table gives the...Ch. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 -
51. Baseball Salaries The Major League Baseball...Ch. 9.1 - Prob. 52ECh. 9.2 - How are the variance and the standard deviation...Ch. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 -
Find the range and standard deviation for each...Ch. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Sales Promotion The Quaker Oats Company conducted...Ch. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 -
29. Washer Thickness An assembly-line machine...Ch. 9.2 - Unemployment The number of unemployed workers in...Ch. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - v
33. Home-Based Workers Because of advancements...Ch. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 -
39. Baseball Salaries The table in Exercise 51,...Ch. 9.2 -
40. Box Office Receipts The table below lists...Ch. 9.2 - Prob. 41ECh. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 -
Find the percent of the total area under the...Ch. 9.3 - Prob. 11ECh. 9.3 -
Find the percent of the total area under the...Ch. 9.3 - Prob. 13ECh. 9.3 - Find the percent of the total area under the...Ch. 9.3 - Prob. 15ECh. 9.3 -
Find a z-score satisfying the following...Ch. 9.3 - Prob. 17ECh. 9.3 -
Find a z-score satisfying the following...Ch. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Prob. 21ECh. 9.3 - In all of the following applications, assume the...Ch. 9.3 - Prob. 23ECh. 9.3 -
In all of the following applications, assume the...Ch. 9.3 - Prob. 25ECh. 9.3 - In all of the following applications, assume the...Ch. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Prob. 29ECh. 9.3 - Quality Control A box of oatmeal must contain 16...Ch. 9.3 - Prob. 31ECh. 9.3 -
Quality Control A box of oatmeal must contain 16...Ch. 9.3 - Prob. 33ECh. 9.3 - Quality Control The chickens at Colonel Thompson's...Ch. 9.3 - Quality Control The chickens at Colonel Thompson's...Ch. 9.3 -
36. Between 1600 and 2000 g
Ch. 9.3 - Quality Control The chickens at Colonel Thompson's...Ch. 9.3 - Quality Control The chickens at Colonel Thompson's...Ch. 9.3 - Annual Bonuses Salespeople of a large corporation...Ch. 9.3 - Grocery Bills At the Discount Market, the average...Ch. 9.3 -
41. Quality Control A machine that fills quart...Ch. 9.3 -
42. Quality Control A machine produces bolls with...Ch. 9.3 - Prob. 43ECh. 9.3 - Prob. 44ECh. 9.3 - Prob. 45ECh. 9.3 - Prob. 46ECh. 9.3 - Prob. 47ECh. 9.3 - Prob. 48ECh. 9.3 - Prob. 49ECh. 9.3 - Prob. 50ECh. 9.3 - Prob. 51ECh. 9.3 - Prob. 52ECh. 9.3 - Prob. 53ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Prob. 56ECh. 9.3 - Prob. 57ECh. 9.3 - Prob. 58ECh. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - Prob. 62ECh. 9.4 - Prob. 1ECh. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 -
Suppose 16 coins are tossed. Find the...Ch. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - Prob. 10ECh. 9.4 - Prob. 11ECh. 9.4 - Prob. 12ECh. 9.4 - Prob. 13ECh. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Prob. 20ECh. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - Prob. 24ECh. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Hole in One In the 1989 U.S. Open, four golfers...Ch. 9 -
1. Check the Court's calculation of 29...Ch. 9 - Prob. 2EACh. 9 - Prob. 3EACh. 9 - Prob. 4EACh. 9 - Prob. 5EACh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - Prob. 19RECh. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 -
Find the median and the mode (or modes) for each...Ch. 9 -
Find the median and the mode (or modes) for each...Ch. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 -
26. What is meant by the range of a...Ch. 9 - Prob. 27RECh. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Prob. 30RECh. 9 - Prob. 31RECh. 9 - Prob. 32RECh. 9 - Prob. 33RECh. 9 - Prob. 34RECh. 9 - Prob. 35RECh. 9 - Prob. 36RECh. 9 - Prob. 37RECh. 9 - Prob. 38RECh. 9 - Prob. 39RECh. 9 - Prob. 40RECh. 9 - Prob. 41RECh. 9 - Prob. 42RECh. 9 - Prob. 43RECh. 9 - Prob. 44RECh. 9 - Prob. 45RECh. 9 - Prob. 46RECh. 9 - Prob. 47RECh. 9 - Prob. 48RECh. 9 - Prob. 49RECh. 9 - Prob. 50RECh. 9 -
51. Use the normal distribution to find the...Ch. 9 - Prob. 52RECh. 9 - Prob. 53RECh. 9 - Prob. 54RECh. 9 - Prob. 55RECh. 9 - Prob. 56RECh. 9 - Prob. 57RECh. 9 - Prob. 58RECh. 9 -
59. Broadway In the survey described in Exercise...
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