Use a Tree Diagram to Find the Indicated Probability

question 14

Multiple Choice

Use a tree diagram to find the indicated probability.
-3.9% of a secluded island tribe are infected with a certain disease.There is a test for the disease,however the test is not completely accurate.92% of those who have the disease will test positive.However 4.4% of those who do not have the disease will also test positive (false positives) .What is the probability that any given person will test positive? Round your answer to three decimal places if necessary.

• A)0.482
• B)0.078
• C)0.036
• D)0.042

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Definitions:

Standard Deviation

It quantifies the amount of variation or dispersion of a set of data values from its mean, serving as an indicator of the data's spread.

Sobriety

The state of being sober, which can refer to abstinence from alcohol and drugs, or having a clear, unaffected mind.

Motor Skills

Abilities that involve the coordination of muscles to perform movements.

Null Hypothesis

In statistical analysis, it is the presumption that there is no effect or no difference and serves as the default or starting assumption for testing.