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) Not affiliated with a political party or has no preference? What are the odds for this event? (B) Affiliated with a political party and prefers candidate A ? 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) Not affiliated with a political party or has no preference? What are the odds for this event? (B) Affiliated with a political party and prefers candidate A ? 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) Not affiliated with a political party or has no preference? What are the odds for this event?
(B) Affiliated with a political party and prefers candidate
A
? What are the odds against this event?
1.
(i)
(ii)
which are not.
What does it mean to say that a set ECR2 is closed?
[1 Mark]
Identify which of the following subsets of R2 are closed and
(a)
A = [-1, 1] × (1, 3)
(b)
B = [-1, 1] x {1,3}
(c)
C = {(1/n², 1/n2) ER2 | n EN}
Provide a sketch and a brief explanation to each of your answers.
[6 Marks]
(iii) Give an example of a closed set which does not have interior
points.
[3 Marks]
Function: y=xsinx
Interval: [ 0 ; π ]
Requirements:
Draw the graphical form of the function.
Show the coordinate axes (x and y).
Choose the scale yourself and show it in the flowchart.
Create a flowchart based on the algorithm.
Write the program code in Python.
Additional requirements:
Each stage must be clearly shown in the flowchart.
The program must plot the graph and save it in PNG format.
Write the code in a modular way (functions and main section should be separate).
Expected results:
The graph of y=xsinx will be plotted in the interval [ 0 ; π ].
The algorithm and flowchart will be understandable and complete.
When you test the code, a graph file in PNG format will be created.
A company specializing in lubrication products for vintage motors produce two
blended oils, Smaza and Nefkov. They make a profit of K5,000.00 per litre of
Smaza and K4,000.00 per litre of Nefkov. A litre of Smaza requires 0.4 litres of
heavy oil and 0.6 litres of light oil. A litre of Nefkov requires 0.8 litres of heavy oil
and 0.2 litres of light oil. The company has 100 litres of heavy oil and 80 litres of
light oil. How many litres of each product should they make to maximize profits
and what level of profit will they obtain? Show all your workings.
Chapter 8 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Intro Stats, Books a la Carte Edition (5th Edition)
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