Antibiotic resistance is a growing problem in hospitals. Some antibiotics become less effective in clearing infections over time.
Currently, a particular antibiotic can successfully treat 23 out of 26 cases of urinary tract infections.
After this antibiotic has been in use for a few years, some bacterial strains become resistant and the medication is found to be 3.52% less effective. What is the probability that it can cure an infection now? Express using the method of your choice
Using the information given, we can calculate the new probability of the antibiotic successfully treating a urinary tract infection:
Old success rate = 23/26 = 0.8846
New success rate = 0.8846 - (0.0352 * 0.8846) = 0.8546
Therefore, the probability that the antibiotic can cure an infection now is 85.46%.