Question

The probability of being cured following treatment with an antibiotic treatment regimen is 95%. Calculate the probability that a group of 15 patients treated according to the regimen will ALL be cured

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Jayne

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Since the probability of being cured for each patient is 95%, the probability that each patient will be cured is 0.95.

To find the probability that all 15 patients will be cured, we multiply the individual probabilities together because the events are independent:

P(\text{All 15 patients are cured}) = 0.95^{15}

P(\text{All 15 patients are cured}) = 0.95^{15} \approx 0.4633

So, the probability that all 15 patients will be cured is\boxed{0.4633} or approximately 46.33%.

To find the probability that all 15 patients will be cured, we multiply the individual probabilities together because the events are independent:

So, the probability that all 15 patients will be cured is

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