In a population, 1% of the people have a certain disease. There is a 99% chance of a person who has the disease to be tested positive. There is a 2% chance of a person who does not have the disease to be tested positive. 5. a) Draw a tree diagram to represent the above situation. b) What is the probability that a person will be tested positive for the disease? c) If a person is tested positive, what is the probability he/she has the disease?

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Chapter1: Combinatorial Analysis
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a)
b)
the student has blood type either A or B.
the student has blood type O given that she is a girl.
In a population, 1% of the people häve a certain disease. There is a 99% chance of a
person who has the disease to be tested positive. There is a 2% chance of a person
who does not have the disease to be tested positive.
a)
Draw a tree diagram to represent the above situation.
b)
What is the probability that a person will be tested positive for the disease?
c)
If a person is tested positive, what is the probability he/she has the disease?
ASASIGLASS has three machines to produce test tubes. The production capacities
for machines A, B and C are respectively, 25%, 35% and 40%. The rates of defective
tubes produced by machines A, B, C are 6%, 8% and 12%, respectively.
6.
5.
Transcribed Image Text:a) b) the student has blood type either A or B. the student has blood type O given that she is a girl. In a population, 1% of the people häve a certain disease. There is a 99% chance of a person who has the disease to be tested positive. There is a 2% chance of a person who does not have the disease to be tested positive. a) Draw a tree diagram to represent the above situation. b) What is the probability that a person will be tested positive for the disease? c) If a person is tested positive, what is the probability he/she has the disease? ASASIGLASS has three machines to produce test tubes. The production capacities for machines A, B and C are respectively, 25%, 35% and 40%. The rates of defective tubes produced by machines A, B, C are 6%, 8% and 12%, respectively. 6. 5.
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