Business Math (11th Edition)
11th Edition
ISBN: 9780134496436
Author: Cheryl Cleaves, Margie Hobbs, Jeffrey Noble
Publisher: PEARSON
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Chapter 12, Problem 19PT
To determine
To calculate: The interest refund using the rule of
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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
Find the differential of the function f(x, y) = −8x√y at the point (1,3) using Ax = 0.25 and
Ay = -0.15.
dz
Now find Az and compare it to your answer above
Az =
Hint: If entering a decimal, round to at least 5 places
Chapter 12 Solutions
Business Math (11th Edition)
Ch. 12.1 - Prob. 1-1SCCh. 12.1 - Prob. 1-2SCCh. 12.1 - Prob. 1-3SCCh. 12.1 - Prob. 1-4SCCh. 12.1 - Prob. 2-1SCCh. 12.1 - Prob. 2-2SCCh. 12.1 - Prob. 2-3SCCh. 12.1 - Prob. 2-4SCCh. 12.1 - Prob. 3-1SCCh. 12.1 - Prob. 3-2SC
Ch. 12.1 - Prob. 3-3SCCh. 12.1 - Prob. 3-4SCCh. 12.1 - Prob. 1SECh. 12.1 - Prob. 2SECh. 12.1 - Prob. 3SECh. 12.1 - Prob. 4SECh. 12.1 - Prob. 5SECh. 12.1 - Prob. 6SECh. 12.1 - Prob. 7SECh. 12.1 - Prob. 8SECh. 12.1 - Prob. 9SECh. 12.1 - Prob. 10SECh. 12.1 - Prob. 11SECh. 12.1 - Prob. 12SECh. 12.1 - Prob. 13SECh. 12.1 - Prob. 14SECh. 12.1 - Prob. 15SECh. 12.1 - Prob. 16SECh. 12.1 - Prob. 17SECh. 12.2 - Prob. 1-1SCCh. 12.2 - Prob. 1-2SCCh. 12.2 - Prob. 1-3SCCh. 12.2 - Prob. 1-4SCCh. 12.2 - Prob. 1-5SCCh. 12.2 - Prob. 1-6SCCh. 12.2 - Prob. 1SECh. 12.2 - Prob. 2SECh. 12.2 - Prob. 3SECh. 12.2 - Prob. 4SECh. 12.2 - Prob. 5SECh. 12.2 - Prob. 6SECh. 12.2 - Prob. 7SECh. 12.2 - Prob. 8SECh. 12.2 - Prob. 9SECh. 12.2 - Prob. 10SECh. 12.2 - Prob. 11SECh. 12.3 - Prob. 1-1SCCh. 12.3 - Prob. 1-2SCCh. 12.3 - Prob. 1-3SCCh. 12.3 - Prob. 1-4SCCh. 12.3 - Prob. 2-1SCCh. 12.3 - Prob. 2-2SCCh. 12.3 - Prob. 2-3SCCh. 12.3 - Prob. 2-4SCCh. 12.3 - Prob. 1SECh. 12.3 - Prob. 2SECh. 12.3 - Prob. 3SECh. 12.3 - Prob. 4SECh. 12.3 - Prob. 5SECh. 12.3 - Prob. 6SECh. 12.3 - Prob. 7SECh. 12.3 - Prob. 8SECh. 12.3 - Prob. 9SECh. 12.3 - Prob. 10SECh. 12.3 - Prob. 11SECh. 12.3 - Prob. 12SECh. 12 - Prob. 1ESCh. 12 - Prob. 2ESCh. 12 - Prob. 3ESCh. 12 - Prob. 4ESCh. 12 - Prob. 5ESCh. 12 - Prob. 6ESCh. 12 - Prob. 7ESCh. 12 - Prob. 8ESCh. 12 - Prob. 9ESCh. 12 - Prob. 10ESCh. 12 - Prob. 11ESCh. 12 - Prob. 12ESCh. 12 - Prob. 13ESCh. 12 - Prob. 14ESCh. 12 - Prob. 15ESCh. 12 - Prob. 16ESCh. 12 - Prob. 17ESCh. 12 - Prob. 18ESCh. 12 - Prob. 19ESCh. 12 - Prob. 20ESCh. 12 - Prob. 21ESCh. 12 - Prob. 22ESCh. 12 - Prob. 23ESCh. 12 - Prob. 24ESCh. 12 - Prob. 25ESCh. 12 - Prob. 26ESCh. 12 - Prob. 27ESCh. 12 - Prob. 28ESCh. 12 - Prob. 29ESCh. 12 - Prob. 30ESCh. 12 - Prob. 31ESCh. 12 - Prob. 32ESCh. 12 - Prob. 33ESCh. 12 - Prob. 34ESCh. 12 - Prob. 35ESCh. 12 - Prob. 36ESCh. 12 - Prob. 37ESCh. 12 - Prob. 38ESCh. 12 - Prob. 39ESCh. 12 - Prob. 40ESCh. 12 - Prob. 41ESCh. 12 - Prob. 42ESCh. 12 - Prob. 1PTCh. 12 - Prob. 2PTCh. 12 - Prob. 3PTCh. 12 - Prob. 4PTCh. 12 - Prob. 5PTCh. 12 - Prob. 6PTCh. 12 - Prob. 7PTCh. 12 - Prob. 8PTCh. 12 - Prob. 9PTCh. 12 - Prob. 10PTCh. 12 - Prob. 11PTCh. 12 - Prob. 12PTCh. 12 - Prob. 13PTCh. 12 - Prob. 14PTCh. 12 - Prob. 15PTCh. 12 - Prob. 16PTCh. 12 - Prob. 17PTCh. 12 - Prob. 18PTCh. 12 - Prob. 19PTCh. 12 - Prob. 20PTCh. 12 - Prob. 21PTCh. 12 - Prob. 22PTCh. 12 - Prob. 1CTCh. 12 - Prob. 2CTCh. 12 - Prob. 3CTCh. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Prob. 7CTCh. 12 - Prob. 1CPCh. 12 - Prob. 2CPCh. 12 - Prob. 1CS1Ch. 12 - Prob. 2CS1Ch. 12 - Prob. 3CS1Ch. 12 - Prob. 4CS1Ch. 12 - Prob. 5CS1Ch. 12 - Prob. 1CS2Ch. 12 - Prob. 2CS2Ch. 12 - Prob. 3CS2Ch. 12 - Prob. 4CS2Ch. 12 - Prob. 5CS2Ch. 12 - Prob. 6CS2
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