a medical device company knows that the percentage of patients experiencing injection - site reactions with…

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. is it appropriate to use the geometric distribution to calculate probabilities in this situation? 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.

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. is it appropriate to use the geometric distribution to calculate probabilities in this situation? 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.

Answer

Brief Explanations:

The geometric distribution is used to find the probability of the first success in a series of independent Bernoulli trials with a constant probability of success. Here, the nurse is looking for the fifth occurrence of success (injection - site reaction), not the first.

Answer:

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