Cancer screening. A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is used. A medical researcher selects a random sample of 1 , 000 adults and finds (by other means) that 2 % have this type of cancer. Each of the 1 , 000 adults is given the test, and it is found that the test indicates cancer in 98 % of those who have it and in 1 % of those who do not. Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? Of a person having cancer given that the test does not indicate cancer?
Cancer screening. A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is used. A medical researcher selects a random sample of 1 , 000 adults and finds (by other means) that 2 % have this type of cancer. Each of the 1 , 000 adults is given the test, and it is found that the test indicates cancer in 98 % of those who have it and in 1 % of those who do not. Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? Of a person having cancer given that the test does not indicate cancer?
Solution Summary: The author calculates the probability that a randomly selected person is having cancer if the test indicates cancer.
Cancer screening. A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is used. A medical researcher selects a random sample of
1
,
000
adults and finds (by other means) that
2
%
have this type of cancer. Each of the
1
,
000
adults is given the test, and it is found that the test indicates cancer in
98
%
of those who have it and in
1
%
of those who do not. Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? Of a person having cancer given that the test does not indicate cancer?
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.
Use the graphs to find estimates for the solutions of the simultaneous equations.
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