Police
A local police station receives an average 8.1 emergency telephone calls per hour.These calls are Poisson distributed.
-The probability that the station will get nine calls in an hour is:
A) 0.1256.
B) 0.8744.
C) 0.0408.
D) 0.6918.
E) 0.3082.

Question

Quizplus · Accepted Answer

The probability of getting exactly k events in a Poisson distribution is given by the formula P(k; λ) = (e^(-λ) * λ^k) / k!, where λ is the average rate (8.1 calls per hour in this case) and k is the number of events (9 calls). Plugging in the values: P(9; 8.1) = (e^(-8.1) * 8.1^9) / 9! ≈ 0.1256.

Police A Local Police Station Receives an Average 8.1 Emergency Telephone