The probability of receiving a 911 call on a university campus is the same every day.The probability of having received a 911 call on a single day does not change the probability of receiving a 911 call on any other day.Which of the following distributions would you use to determine the probability that a 911 call will be received next day?
A) Binomial distribution.
B) Poisson distribution.
C) Hypergeometric distribution.
D) None of the above.

Question

Quizplus · Accepted Answer

Since the probability of receiving a 911 call remains constant, the situation can be modeled using the Poisson distribution. The Poisson distribution is used to model the number of events or occurrences in a fixed interval of time or space, assuming that the events occur randomly and independently, and with a constant rate. Therefore, it is the best choice to determine the probability of receiving a 911 call next day. The binomial distribution is used when there are a fixed number of trials or experiments, with two possible outcomes (success/failure), and independent events. The hypergeometric distribution is used when sampling without replacement from a finite population, where the events are not independent. Neither of these applies to the given scenario.

The Probability of Receiving a 911 Call on a University