A person comes to a doctor and complains of frequent pain in the lower abdomen.

Question

A person comes to a doctor and complains of frequent pain in the lower abdomen. A doctor suspects a certain problem. However, he wants to be sure before proceeding with the treatment, so he orders a medical test. Answer the following questions using Contingency Table provided below. What is the Probability that the person is Sick and the Test confirms it? 0.1 0.2 0.3 None of the above Find the Probability for the empty cell and name it. 0.4 "Person is Not Sick and the Test is Negative" 0.3 "Person is Sick and the Test is Positive" 0.4 "Person is Sick and the Test is Negative" 0.2 "Person is Not Sick and the Test is Negative" None of the above Let Event A be "Person is Sick" and Event B be "Test is Negative". Are these Events Mutually Exclusive? Yes, because their Joint Probability is 0 No, because their Joint Probability is 0.1 Yes, because their Joint Probability is 0.1 No, because their Joint Probability is 0 None of the above What is the Probability that the person is Sick if the Test is Positive? 0.3 0.6 0.75 None of the above

Explanation / Answer

7)P(Sick and Test Confirms)=0.3

8)Sum=1=0.3+0.1+0.2+x, Hence x=0.4->P(Person is not sick and test is negative)

9)No,because joint probability is 0.1

10)P(Sick|Positive)=0.3/0.5=0.6

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