Problems 87 and 88 refer to the data in the following table, obtained from a random survey of 1 , 000 residents of a state. The participants were asked their political affiliations and their preferences in an upcoming election. (In the table, D = Democrat , R = Republican , and U = Unaffliliated . ) Politics. If a state resident is selected at random, what is the (empirical) probability that the resident is (A) A Democrat or prefers candidate B ? What are the odds for this event? (B) Not a Democrat and has no preference? What are the odds against this event?
Problems 87 and 88 refer to the data in the following table, obtained from a random survey of 1 , 000 residents of a state. The participants were asked their political affiliations and their preferences in an upcoming election. (In the table, D = Democrat , R = Republican , and U = Unaffliliated . ) Politics. If a state resident is selected at random, what is the (empirical) probability that the resident is (A) A Democrat or prefers candidate B ? What are the odds for this event? (B) Not a Democrat and has no preference? What are the odds against this event?
Solution Summary: The author calculates the probability that the state resident selected randomly is affiliated with a Democrat party or prefers candidate B.
Problems
87
and
88
refer to the data in the following table, obtained from a random survey of
1
,
000
residents of a state. The participants were asked their political affiliations and their preferences in an upcoming election. (In the table,
D
=
Democrat
,
R
=
Republican
,
and
U
=
Unaffliliated
.
)
Politics. If a state resident is selected at random, what is the (empirical) probability that the resident is
(A) A Democrat or prefers candidate
B
? What are the odds for this event?
(B) Not a Democrat and has no preference? What are the odds against this event?
Calculate gross pay for each employee. All are paid overtime wage rates that are 1.5 times their respective regular wage rates. should be rounded to two decimal places at each calculation.
Taylor Series Approximation Example- H.W
More terms used implies better approximation
f(x) 4
f(x)
Zero order
f(x + 1) = f(x;)
First order
f(x; + 1) = f(x;) + f'(x;)h
1.0
Second order
0.5
True
f(x + 1) =
f(x) + f'(x)h +
ƒ"(x;)
h2
2!
f(x+1)
0
x; = 0
x+1 = 1
x
h
f(x)=0.1x4-0.15x³- 0.5x2 -0.25x + 1.2
51
Taylor Series Approximation H.w:
Smaller step size implies smaller error
Errors
f(x) +
f(x,)
Zero order
f(x,+ 1) = f(x)
First order
1.0
0.5
Reduced step size
Second order
True
f(x + 1) = f(x) + f'(x)h
f(x; + 1) = f(x) + f'(x)h + "(xi) h2
f(x,+1)
O
x₁ = 0
x+1=1
Using Taylor Series Expansion estimate f(1.35) with x0 =0.75 with 5
iterations (or & s= 5%) for
f(x)=0.1x 0.15x³-0.5x²- 0.25x + 1.2
52
Calculate gross pay for each employee. All are paid overtime wage rates that are 1.5 times their respective regular wage rates. should be rounded to two decimal places at each calculation.
Chapter 8 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
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