MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

Suppose a lab is developing a robust new test to look for diabetes in children. If a child actually has diabetes, the probability that the test will be positive is 85%, indicating they have diabetes. If the child does not have diabetes, the probability that the test will be positive is 10%. Suppose 5.6% of all children actually have diabetes. (Round your answer to 3 decimal places, if needed.)

(a) What is the probability that a randomly chosen child has diabetes and tested positive?
Answer: 

(b) What is the probability that a randomly chosen child tested positive?
Answer: 

(c) Given that a test comes up positive, what is the probability the child has diabetes?
Answer: 

(d) What is the probability that a randomly chosen child does not have diabetes and tested negative?
Answer: 

(e) What is the probability that a randomly chosen child tested negative?
Answer: 

(f) Given that a test comes up negative, what is the probability the child does not have diabetes?
Answer: 

 
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