A test for a disease is given to patients with possible sypmtoms. The following

Question

A test for a disease is given to patients with possible sypmtoms. The following table summarizes the results.

9. Find the Probability that a randomly selecred person tests postive.

10. Find the probability that a randomly selected person has the disease or tests negative.

11. Find the probability that a randomly selected person has the disease given that they test negative.

12. Find the probability that a randomly selected person has teh disease given that they test positive.

13. Find the probability that a randomly selected person tests negative and does not have the disease.

1107 12.59 18.48 14.07 20.09 15.51 16.92 18.31 19.68 21.02 15.09 16.81 21.67 23.21 24.72 10 12 13 a discase is given to patients with possible symptoms. The follow the results Use the A test for e following information for questions 9 through 13 egative Test suumarizes Positive Test N 75 180 ct has t oes not have the disease 25 positive. 9. Find the th e probability that a randomly selected person tests 9) D. 180 90 ISo 115 105 10. Find the pro bability that a randomly selected person has the disease or tests negative. 4 155 18O B. 90 15 180 15 D. E 105 11. Find the probability test negative ity that a randomly selected person has the disease given that they ar 180 B. 65 180 4. 15 15 105 50 D. 90 E 65 15 65 test positive. at a randomly selected person has the disease given that they 90 180 90 115 90 105 115 105 180 D. rand E. 13. Find the probability 180 the disease. y that a randomly selected person tests negative and does not have 4. 65 180 B. 50 75 180 50 50 65 180 C. D. E

Explanation / Answer

9) P(positive test) = 115/180

10) P(disease or test negative) = (105+50)/180

= 155/180

11) P(disease | test negative) = 15/65

12) P(disease | test positive) = 90/115

13) P(test negative and does not have disease) = 50/180

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