The following sample has been collected from 123 patients to test the efficiency of a sleeping capsule. The patients were separated into two groups: control, and target. The control group were given a fake capsule (sugar) while the target group were given the original capsule. The patients were asked about the effectiveness of the capsules and the results were written in the following table: Control Target Effective 8 58 Not effective 52 5 What is the probability of a randomly selected patient being in the target group? Write all answers in 3 decimal places What is the probability of a randomly selected patient being in the target group and believing that the capsule is not effective? What is the probability of a randomly selected patient being in the target group given that they believe the capsule is not effective?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The following sample has been collected from 123 patients to test the efficiency of a
sleeping capsule. The patients were separated into two groups: control, and target.
The control group were given a fake capsule (sugar) while the target group were given
the original capsule. The patients were asked about the effectiveness of the capsules
and the results were written in the following table:
Control
Target
Effective
8
58
Not effective
52
5
What is the probability of a randomly selected patient being in the target group?
Write all answers in 3 decimal places
What is the probability of a randomly selected patient being in the target group and
believing that the capsule is not effective?
What is the probability of a randomly selected patient being in the target group given
that they believe the capsule is not effective?
Transcribed Image Text:The following sample has been collected from 123 patients to test the efficiency of a sleeping capsule. The patients were separated into two groups: control, and target. The control group were given a fake capsule (sugar) while the target group were given the original capsule. The patients were asked about the effectiveness of the capsules and the results were written in the following table: Control Target Effective 8 58 Not effective 52 5 What is the probability of a randomly selected patient being in the target group? Write all answers in 3 decimal places What is the probability of a randomly selected patient being in the target group and believing that the capsule is not effective? What is the probability of a randomly selected patient being in the target group given that they believe the capsule is not effective?
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