Question: How would one answer the question below? What distribution would you use? 3. Two combination drug therapies {Treatment A and Treatment B] hays been deyeloped

How would one answer the question below? What distribution would you use?

How would one answer the question below? What distribution would you use?

3. Two combination drug therapies {Treatment A and Treatment B] hays been deyeloped for eradicating Helicobacter pyfoni in human patients. The effectiveness of these treatments depends on whether or not the patient is resistant to the chemical compound Metronidazole, but a patient's resistance status is not routinely determined before beginning treatment. Treatment A successfully eradicates Hefrcobacter pyfon' in 92% of resistant patients and BT34. of non-resistant patients. The corresponding proportions for Treatment B are ?5% and 95%. (i) Denote by B {D r: B s 1) the proportion of the affected population that is resistant. If a patient from this population is unsuccessfully treated with Treatment B, write down an expression for the probability that the patient is resistant. (ii) For what yalues of El would a greater proportion of patients from this population be successfully treated by Treatment B than by Treatment A? [iii] Suppose that B = 0.2. If 20 patients, selected at random from the affected population, are independently treated with Treatment B, nd the probability that at least 18 of them will be treated successfully. [4, 5, 5 MARKS]

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