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. Let Event A be "Person is Sick" and Event B be "Test is Negative". Are these Events Independent? Yes, because their Conditional and regular Probabilities are the same No, because their Conditional and regular Probabilities are the same Yes, because their Conditional and regular Probabilities are not the same No, because their Conditional and regular Probabilities are not the same None of the above What is the Probability that the person is Sick or the Test is Positive? 0.3 0.6 0.9 None of the above

Explanation / Answer

11)P(Sick)=0.3+0.1=0.4

P(Negative)=0.1+0.4=0.5

P(Sick and Negative)=0.1

But P(Sick)*P(Negative)=0.4*0.5=0.2

Hence as P(Sick)*P(Negative) is not equal to P(Sick and Negative),they are not independent.

12)P(Sick or Positive)=0.3+0.1+0.2=0.6

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