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) both of the above
D) none of the above

Question

Quizplus · Accepted Answer

Since the probability of receiving a 911 call is the same every day and the occurrence of one day does not affect the probability of any other day, this situation fits the assumptions of a Poisson distribution. A binomial distribution, on the other hand, assumes a fixed number of independent trials with the same probability of success for each trial, which does not align with the given scenario. Therefore, the best choice would be to use a Poisson distribution to determine the probability of receiving a 911 call the next day.

The Probability of Receiving a 911 Call on a University