. (15 points) A researcher is interested in evaluating how well a diagnostic tes
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Question
. (15 points) A researcher is interested in evaluating how well a diagnostic test works for detecting renal disease in patients with high blood pressure. She performs the diagnostic test on 137 patients-67 with known renal disease and 70 who are known to be healthy. The diagnostic test comes back either positive or negative. Here are the results of the experiment Test Positive Test Negative Total 23 60 83 67 70 137 Renal disease 10 54 Hea Total A. What is the probability that a person selected at random from the B. Find the probability that a person's test is negative, given that he/she is C. If event A-[the person has renal disease) and B-(the test is positive), are experiment has renal disease give that his/her test is positive? healthy? A and B independent? (show proof 33//37 enden 54 9. (10 points). Daniel had 20 stocks to choose for investment. 9 of the 20 stocks are from financial industry. If he finally chose 4 stocks, what is the probability that at least one of the four he chose was from the financial industry?Explanation / Answer
Total stocks = 20
Number of financial stocks = 9
Number of non financial stocks = 20 - 9 = 11
P(at least one of 4 is from financial industry) = 1 - P(none of them are from financial industry)
= 1 - 11C4 / 20C4
= 1 - 330/4845
= 0.9319
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