Business Math (11th Edition)
11th Edition
ISBN: 9780134496436
Author: Cheryl Cleaves, Margie Hobbs, Jeffrey Noble
Publisher: PEARSON
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Chapter 2.1, Problem 3-3SC
To determine
To calculate: The improper fraction for the mixed fraction
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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 2 Solutions
Business Math (11th Edition)
Ch. 2.1 - Prob. 1-1SCCh. 2.1 - Prob. 1-2SCCh. 2.1 - Prob. 1-3SCCh. 2.1 - Prob. 1-4SCCh. 2.1 - Prob. 1-5SCCh. 2.1 - Prob. 1-6SCCh. 2.1 - Prob. 2-1SCCh. 2.1 - Prob. 2-2SCCh. 2.1 - Prob. 2-3SCCh. 2.1 - Prob. 2-4SC
Ch. 2.1 - Prob. 2-5SCCh. 2.1 - Prob. 3-1SCCh. 2.1 - Prob. 3-2SCCh. 2.1 - Prob. 3-3SCCh. 2.1 - Prob. 3-4SCCh. 2.1 - Prob. 3-5SCCh. 2.1 - Prob. 4-1SCCh. 2.1 - Prob. 4-2SCCh. 2.1 - Prob. 4-3SCCh. 2.1 - Prob. 4-4SCCh. 2.1 - Prob. 4-5SCCh. 2.1 - Prob. 4-6SCCh. 2.1 - Prob. 4-7SCCh. 2.1 - Prob. 4-8SCCh. 2.1 - Prob. 5-1SCCh. 2.1 - Prob. 5-2SCCh. 2.1 - Prob. 5-3SCCh. 2.1 - Prob. 5-4SCCh. 2.1 - Prob. 5-5SCCh. 2.1 - Prob. 5-6SCCh. 2.1 - Prob. 1SECh. 2.1 - Prob. 2SECh. 2.1 - Prob. 3SECh. 2.1 - Prob. 4SECh. 2.1 - Prob. 5SECh. 2.1 - Prob. 6SECh. 2.1 - Prob. 7SECh. 2.1 - Prob. 8SECh. 2.1 - Prob. 9SECh. 2.1 - Prob. 10SECh. 2.1 - Prob. 11SECh. 2.1 - Prob. 12SECh. 2.1 - Prob. 13SECh. 2.1 - Prob. 14SECh. 2.1 - Prob. 15SECh. 2.1 - Prob. 16SECh. 2.1 - Prob. 17SECh. 2.1 - Prob. 18SECh. 2.1 - Prob. 19SECh. 2.1 - Prob. 20SECh. 2.1 - Prob. 21SECh. 2.1 - Prob. 22SECh. 2.1 - Prob. 23SECh. 2.1 - Prob. 24SECh. 2.1 - Prob. 25SECh. 2.1 - Prob. 26SECh. 2.1 - Prob. 27SECh. 2.1 - Prob. 28SECh. 2.1 - Prob. 29SECh. 2.1 - Prob. 30SECh. 2.1 - Prob. 31SECh. 2.1 - Prob. 32SECh. 2.1 - Prob. 33SECh. 2.1 - Prob. 34SECh. 2.1 - Prob. 35SECh. 2.1 - Prob. 36SECh. 2.1 - Prob. 37SECh. 2.1 - Prob. 38SECh. 2.2 - Prob. 1-1SCCh. 2.2 - Prob. 1-2SCCh. 2.2 - Prob. 1-3SCCh. 2.2 - Prob. 1-4SCCh. 2.2 - Prob. 1-5SCCh. 2.2 - Prob. 2-1SCCh. 2.2 - Prob. 2-2SCCh. 2.2 - Prob. 2-3SCCh. 2.2 - Prob. 2-4SCCh. 2.2 - Prob. 2-5SCCh. 2.2 - Prob. 3-1SCCh. 2.2 - Prob. 3-2SCCh. 2.2 - Prob. 3-3SCCh. 2.2 - Prob. 3-4SCCh. 2.2 - Prob. 3-5SCCh. 2.2 - Prob. 3-6SCCh. 2.2 - Prob. 4-1SCCh. 2.2 - Prob. 4-2SCCh. 2.2 - Prob. 4-3SCCh. 2.2 - Prob. 4-4SCCh. 2.2 - Prob. 4-5SCCh. 2.2 - Prob. 4-6SCCh. 2.2 - Prob. 4-7SCCh. 2.2 - Prob. 4-8SCCh. 2.2 - Prob. 4-9SCCh. 2.2 - Prob. 4-10SCCh. 2.2 - Prob. 1SECh. 2.2 - Prob. 2SECh. 2.2 - Prob. 3SECh. 2.2 - Prob. 4SECh. 2.2 - Prob. 5SECh. 2.2 - Prob. 6SECh. 2.2 - Prob. 7SECh. 2.2 - Prob. 8SECh. 2.2 - Prob. 9SECh. 2.2 - Prob. 10SECh. 2.2 - Prob. 11SECh. 2.2 - Prob. 12SECh. 2.2 - Prob. 13SECh. 2.2 - Prob. 14SECh. 2.2 - Prob. 15SECh. 2.2 - Prob. 16SECh. 2.2 - Prob. 17SECh. 2.2 - Prob. 18SECh. 2.2 - Prob. 19SECh. 2.2 - Prob. 20SECh. 2.2 - Prob. 21SECh. 2.2 - Prob. 22SECh. 2.2 - Prob. 23SECh. 2.2 - Prob. 24SECh. 2.2 - Prob. 25SECh. 2.2 - Prob. 26SECh. 2.2 - Prob. 27SECh. 2.2 - Prob. 28SECh. 2.2 - Prob. 29SECh. 2.2 - Prob. 30SECh. 2.3 - Prob. 1-1SCCh. 2.3 - Prob. 1-2SCCh. 2.3 - Prob. 1-3SCCh. 2.3 - Prob. 1-4SCCh. 2.3 - Prob. 1-5SCCh. 2.3 - Prob. 1-6SCCh. 2.3 - Prob. 1-7SCCh. 2.3 - Prob. 2-1SCCh. 2.3 - Prob. 2-2SCCh. 2.3 - Prob. 2-3SCCh. 2.3 - Prob. 2-4SCCh. 2.3 - Prob. 2-5SCCh. 2.3 - Prob. 2-6SCCh. 2.3 - Prob. 2-7SCCh. 2.3 - Prob. 1SECh. 2.3 - Prob. 2SECh. 2.3 - Prob. 3SECh. 2.3 - Prob. 4SECh. 2.3 - Prob. 5SECh. 2.3 - Prob. 6SECh. 2.3 - Prob. 7SECh. 2.3 - Prob. 8SECh. 2.3 - Prob. 9SECh. 2.3 - Prob. 10SECh. 2.3 - Prob. 11SECh. 2.3 - Prob. 12SECh. 2.3 - Prob. 13SECh. 2.3 - Prob. 14SECh. 2.3 - Prob. 15SECh. 2.3 - Prob. 16SECh. 2.3 - Prob. 17SECh. 2.3 - Prob. 18SECh. 2.3 - Prob. 19SECh. 2.3 - Prob. 20SECh. 2.3 - Prob. 21SECh. 2.3 - Prob. 22SECh. 2.3 - Prob. 23SECh. 2.3 - Prob. 24SECh. 2 - Prob. 1ESCh. 2 - Prob. 2ESCh. 2 - Prob. 3ESCh. 2 - Prob. 4ESCh. 2 - Prob. 5ESCh. 2 - Prob. 6ESCh. 2 - Prob. 7ESCh. 2 - Prob. 8ESCh. 2 - Prob. 9ESCh. 2 - Prob. 10ESCh. 2 - Prob. 11ESCh. 2 - Prob. 12ESCh. 2 - Prob. 13ESCh. 2 - Prob. 14ESCh. 2 - Prob. 15ESCh. 2 - Prob. 16ESCh. 2 - Prob. 17ESCh. 2 - Prob. 18ESCh. 2 - Prob. 19ESCh. 2 - Prob. 20ESCh. 2 - Prob. 21ESCh. 2 - Prob. 22ESCh. 2 - Prob. 23ESCh. 2 - Prob. 24ESCh. 2 - Prob. 25ESCh. 2 - Prob. 26ESCh. 2 - Prob. 27ESCh. 2 - Prob. 28ESCh. 2 - Prob. 29ESCh. 2 - Prob. 30ESCh. 2 - Prob. 31ESCh. 2 - Prob. 32ESCh. 2 - Prob. 33ESCh. 2 - Prob. 34ESCh. 2 - Prob. 35ESCh. 2 - Prob. 36ESCh. 2 - Prob. 37ESCh. 2 - Prob. 38ESCh. 2 - Prob. 39ESCh. 2 - Prob. 40ESCh. 2 - Prob. 41ESCh. 2 - Prob. 42ESCh. 2 - Prob. 43ESCh. 2 - Prob. 44ESCh. 2 - Prob. 45ESCh. 2 - Prob. 46ESCh. 2 - Prob. 47ESCh. 2 - Prob. 48ESCh. 2 - Prob. 49ESCh. 2 - Prob. 50ESCh. 2 - Prob. 51ESCh. 2 - Prob. 52ESCh. 2 - Prob. 53ESCh. 2 - Prob. 54ESCh. 2 - Prob. 55ESCh. 2 - Prob. 56ESCh. 2 - Prob. 57ESCh. 2 - Prob. 58ESCh. 2 - Prob. 59ESCh. 2 - Prob. 60ESCh. 2 - Prob. 61ESCh. 2 - Prob. 62ESCh. 2 - Prob. 63ESCh. 2 - Prob. 64ESCh. 2 - Prob. 65ESCh. 2 - Prob. 66ESCh. 2 - Prob. 67ESCh. 2 - Prob. 68ESCh. 2 - Prob. 69ESCh. 2 - Prob. 70ESCh. 2 - Prob. 71ESCh. 2 - Prob. 72ESCh. 2 - Prob. 73ESCh. 2 - Prob. 74ESCh. 2 - Prob. 75ESCh. 2 - Prob. 76ESCh. 2 - Prob. 78ESCh. 2 - Prob. 79ESCh. 2 - Prob. 80ESCh. 2 - Prob. 81ESCh. 2 - Prob. 82ESCh. 2 - Prob. 83ESCh. 2 - Prob. 84ESCh. 2 - Prob. 1PTCh. 2 - Prob. 2PTCh. 2 - Prob. 3PTCh. 2 - Prob. 4PTCh. 2 - Prob. 5PTCh. 2 - Prob. 6PTCh. 2 - Prob. 7PTCh. 2 - Prob. 8PTCh. 2 - Prob. 9PTCh. 2 - Prob. 10PTCh. 2 - Prob. 11PTCh. 2 - Prob. 12PTCh. 2 - Prob. 13PTCh. 2 - Prob. 14PTCh. 2 - Prob. 15PTCh. 2 - Prob. 16PTCh. 2 - Prob. 17PTCh. 2 - Prob. 18PTCh. 2 - Prob. 19PTCh. 2 - Prob. 20PTCh. 2 - Prob. 21PTCh. 2 - Prob. 22PTCh. 2 - Prob. 23PTCh. 2 - Prob. 24PTCh. 2 - Prob. 1CTCh. 2 - Prob. 2CTCh. 2 - Prob. 3CTCh. 2 - Prob. 4CTCh. 2 - Prob. 5CTCh. 2 - Prob. 6CTCh. 2 - Prob. 7CTCh. 2 - Prob. 8CTCh. 2 - Prob. 9CTCh. 2 - Prob. 10CTCh. 2 - Prob. 11CTCh. 2 - Prob. 12CTCh. 2 - Prob. 1CPCh. 2 - Prob. 2CPCh. 2 - Prob. 1CS1Ch. 2 - Prob. 2CS1Ch. 2 - Prob. 3CS1Ch. 2 - Prob. 1CS2Ch. 2 - Prob. 2CS2Ch. 2 - Prob. 3CS2Ch. 2 - Prob. 4CS2
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