An alarm company reports that the number of alarms sent to their monitoring center from customers owning their system follow a Poisson distribution with λ = 4.7 alarms per year. Identify the mean and standard deviation for this distribution.
A) mean = 4.7, standard Deviation = 4.7
B) mean = 4.7, standard Deviation = 2.17
C) mean = 2.17, standard Deviation = 4.7
D) mean = 2.17, standard Deviation = 2.17

Question

Quizplus · Accepted Answer

The mean of a Poisson distribution is equal to the lambda parameter, which is 4.7 in this case. The standard deviation of a Poisson distribution is equal to the square root of the lambda parameter, which is 2.17 in this case.

An Alarm Company Reports That the Number of Alarms Sent