Asked by Thomas Ingram on May 09, 2024
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A new surgical procedure is said to be successful 90% of the time. Suppose the operation is performed five times and the results are assumed to be independent of one another. Find the probabilities listed below:
Define x to be the number of successful operations. Then p = P(success) = 0.9 and n = 5. We will use the binomial formula. However, you may also use the cumulative binomial probabilities table in Appendix I of your book to calculate the necessary probabilities.
All five operations are successful.
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Exactly four are successful.
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Less than two are successful.
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Binomial Formula
A mathematical formula used to determine the number of successes in a fixed number of trials in a binomial experiment, given the probability of success in each trial.
Independent
Refers to a variable in an experiment or study that is purposely manipulated or changed to observe its effect on other variables.
Successful Operations
Activities or series of activities within a process which achieve the intended goals or objectives efficiently and effectively.
- Master the principle of binomial distribution to perform probability computations.
- Utilize the accumulated binomial probabilities chart for the resolution of problems related to probability.
- Determine probabilities through the application of the binomial formula and approximative techniques like the Poisson approximation.
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Learning Objectives
- Master the principle of binomial distribution to perform probability computations.
- Utilize the accumulated binomial probabilities chart for the resolution of problems related to probability.
- Determine probabilities through the application of the binomial formula and approximative techniques like the Poisson approximation.