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Studies have shown that 1 in 10 adults have heart disease. Probability of a person with heart disease having a positive EKG test= 0.90 Probability of a person without heart disease having a negative EKG test= 0.95

Assume a person arrives to the emergency room with chest pains and they are given an EKG test.

1. If the test is positive, what is the probability that this person actually has heart disease?

2. If the test is negative, what is the probability that this person actually does NOT have heart disease?

3. Suppose the first EKG test is positive. In order to make sure, a second EKG test is given to the person. What is the probability that this person has heart disease if the second EKG test is also positive?

4. Suppose the first EKG test is positive. In order to make sure, a second EKG test is given to the person. What is the probability that this person has heart disease if the second EKG test is negative?

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