In: Statistics and Probability
A production company are going to run the entire factory from a controll-room. In the control-room there is several controllboards that in the initial period sets of false alarms. In average it sets of two false alarms per hour. The number of false alarms are poisson distributed.
a) What is the probability that there is excactly ten false alarms
during a 8 hour workday?
b) What is the probability that it goes more than one hour before
the next false alarm?