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)Normal distribution.
D)Hypergeometric distribution.

Question

Quizplus · Accepted Answer

The situation described here fits the Poisson distribution which is commonly used to model the number of events occurring in a fixed time period, given the average rate of occurrence of the event. In this case, the probability of receiving a 911 call on a university campus is the same every day, which suggests a constant rate of occurrence. Additionally, the fact that the probability of receiving a 911 call on a single day does not change the probability of receiving a 911 call on any other day also supports the use of the Poisson distribution. Therefore, option B is the best choice for determining the probability that a 911 call will be received next day.

The Probability of Receiving a 911 Call on a University