Binomial probability: Introduction of Fast Care Unit
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(TCO 5) A hospital is hoping to introduce a Fast Care Unit. The hospital claims that after the initial run, 87% of the patients were pleased with the service. We ask 20 randomly selected patients whether or not they are pleased with the service.
(a) Is this a binomial experiment? Explain how you know.
(b) Use the correct formula to find the probability that, out of 20 patients, exactly 15 are pleased with the service. Show your calculations or explain how you found the probability.
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Solution Summary
The solution provides step by step method for the calculation of binomial and normal probabilities. Formula for the calculation and Interpretations of the results are also included.
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The binomial distribution arises from the following assumptions:
1. There are n trials.
2. Each trial has two possible outcomes, "success" or "failure".
3. The probability of success, p, is the same for each trial.
4. Each trial is independent.
In this context, clearly there are 20 trials. Each trial has two possible outcomes, "pleased with the service" and "not pleased with ...
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