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A new test for a specific type of cancer being developed. This new test is fast and cheap and its creators hope that it

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A new test for a specific type of cancer being developed. This new test is fast and cheap and its creators hope that it will sur Time left test which currently acts as the gold standard but is slow and very expensive. A study was carried out and here are the results. Actually has cancer Does not have cancer Received Positive Test Result Received Negative Test Result 12 2 180 15206 Answer the following questions. For non-integer answers, the value you submit must be accurate to 4 decimal places. 1. How many subjects participated in this study? 2. Of those who participated, how many actually had cancer? 3. Of those who participated, how many in fact did not have cancer? 4. Of those who participated, how many received a positive test result? 5. Of those who participated, how many received a negative test result? Probability Calculations If one subject is selected at random: 6. What is the probability he/she has cancer? 7. What is the probability he/she does not have cancer? 8. What is the probability he/she received a positive test result? 9. What is the probability he/she received a negative test result? 10. What is the probability he/she got a positive test result given the person actually has cancer? 11. What is the probability he/she actually has cancer given the person received a positive test result? 12. What is the probability he/she got a negative test result given the person does not have cancer? 13. What is the probability he/she does not have cancer given the person received a negative test result?

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