Do you have a calculator? ...
Changes in airport procedures require considerable planning. Arrival rates of aircraft are important factors that must be taken into account. Suppose small aircraft arrive at a certain airport, according to a Poisson process, at the rate of 6 per hour. Thus, the Poisson parameter for arrivals over a period of hours is μ = 6t.
If we define a working day as 12 hours, what is the probability that at least 75 small aircraft arrive during a working day?
Ok, the new
But how do I find ?
I know that
but it seems very time consuming to have to find
Is there a faster way of solving the problem?
which is too tedious to compute by hand, so you will probably want to use the normal approximation if you have been shown it.