Hospital Patients\' Survey Data is claimed that based on some clinical trials: t
ID: 3059774 • Letter: H
Question
Hospital Patients' Survey Data is claimed that based on some clinical trials: there is a 15% chance of experiencing depression problems known as Seasonal affective disorder (SAD), there is a 28% chance of experiencing heart disease known as Angina, and there is a 8% chance of experiencing both side effects. (a) Suppose that the patient experiences SAD; what is the probability that the (b) Suppose the drug induces Angina in a patient; what is the probability that it also (c) Suppose the drug induces Angina in a patient; what is the probability that it (d) Suppose that the patient doesn't experience SAD; what is the probability that the patient will also experience Angina? induces SAD? doesn't induce SAD? patient will not experience Angina?Explanation / Answer
Given, P(SAD) = 0.15, P(Angina) = 0.28, P(SAD and Angina) = 0.08
a. P(Angina | SAD) = P(SAD and Angina) / P(SAD) = 0.08 / 0.15
= 0.5333
b. P(SAD | Angina) = P(SAD and Angina) / P(Angina) = 0.08/0.28 = 0.2857
c. P(Not SAD | Angina) = 1 - P(SAD | Angina) = 1 - 0.2857 = 0.7143
d. P(Not Angina | Not SAD) = P(Not Angina and Not SAD) | P(Not SAD)
= [ 1 - P(Angina or SAD) ] / [1 - P(SAD)] = [1 - (0.15+0.28 - 0.08)] / (1-0.15)
= 0.7647
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