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 84%, indicating they have diabetes. If the child does not have diabetes, the probability that the test will be positive is 12%. Suppose 5.7% 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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