Answer :
Using (D) the binomial formula, which is used to determine probability when independent events are known, we will get the probability in the scenario.
What is the binomial formula?
In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment).
The binomial probability is nCx⋅px⋅(1−p)n−x if the likelihood of success on a single trial is p.
When a process is repeated a certain number of times (for example, in a set of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of witnessing a defined number of "successes."
So, in the given situation we will find the probability with help of the binomial formula which is used to calculate the probability when independent events are given.
Therefore, using (D) the binomial formula, which is used to determine probability when independent events are known, we will get the probability in the scenario.
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Complete question:
We want to determine the probability of obtaining at most 4 successful operations in 10 independent surgical operations where the probability of success is the same for each operation. The appropriate formula to be used is
(A) the mean of the binomial distribution.
(B) the hypergeometric formula.
(C) the mean of the hypergeometric distribution.
(D) the binomial formula.