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Is it appropriate to use the geometric distribution to
calculate probabilities in this situation?
a medical device company knows that the percentage
of patients experiencing injection-site reactions with
the current needle is 11%. a nurse will collect data by
performing injections with this type of needle until five
people experience injection-site reactions.
yes, the geometric distribution is appropriate.
no, since each trial is not independent of the other
trials.
no, because it is not looking for the first occurrence
of success.
no, since the probability of success is not the same
for each of the trials.

Respuesta :

The hypergeometric distribution should not be used, hence the correct option is given by:

no, because it is not looking for the first occurrence of success.

When the hypergeometric distribution should be used?

These two conditions should be respected:

  • We should be looking for the probability of x successes on n trials, not the number of trials until n successes.
  • The trials should not be independent, that is, the probabilities on each trial should be different.

None of these conditions are true in this case, hence the correct option is given by:

no, because it is not looking for the first occurrence of success.

More can be learned about the hypergeometric distribution at https://brainly.com/question/24826394

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