Respuesta :
Using binomial distribution concepts, it is found that:
D. The trials must be dependent.
Is not a requirement for the binomial distribution.
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Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, considering that the number of trials is fixed and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of a success on a single trial, which has to be the same for each trial, that is, the trials have to be independent.
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- From the above explanation, we have that each trial can only have two possible outcomes, the number of trials must be fixed and the trials have to be independent.
- Thus, dependent trials, given by option D, is not a requirement for the binomial distribution.
A similar problem is given at https://brainly.com/question/21772486
