Complete following three exercises related to probability:
Q1) Probability of patient admitted to critical care unit with heart disease is 0.1 whereas probability for pulmonary disease is 0.05. If probability of having patient having both diseases is 1/500, determine the probability that next patient admitted will have either heart or pulmonary disease or both? Are events of admission of patients with heart diseases or pulmonary diseases independent of one another? Describe why?
Q2) Side effects from drug A are known to happen in 10% of all patients who take it. Nurse practitioner has 2 patients who are taking drug A. Determine the probability that both experience side effects from the drug?
Q3) Describe what do you mean by conditional probability. Give clinical example to support the explanation.