Question: Question 1 (3 + 2 = 5 marks) A small independent general practice has three doctors. Dr Smith sees 40% of the patients, Dr Tran

Question 1 (3 + 2 = 5 marks)

A small independent general practice has three doctors. Dr Smith sees 40% of the patients, Dr Tran sees 30% and Dr Jackson sees the rest. Dr Smith requests blood tests on 5% of her patients, Dr Tran requests blood tests on 8% of his patients and Dr Jackson requests blood tests on 6% of her patients. An auditor from the Australian Health Insurance Commission randomly selects a patient from the past week;

a) What is the probability that the selected patient had a blood test as a result of a visit to the general practice?

b) What is the probability that given the selected patient had a blood test as a result of a visit to the general practice; they were seen by Dr Smith?

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