The increased number of small commuter planes in major airports has heightened concern over air safety. An eastern airport has recorded a monthly average of five near - misses on landings and takeoffs in the past five years.

a. Find the probability that during a given month there are no near-misses on landings and takeoffs at the airport.

Respuesta :

Answer:

a. 0.00674

Step-by-step explanation:

The distribution follows poisson.

β = average = 5

[tex]p(x) = \frac{\beta ^xexp(-\beta )}{x!}[/tex]

[tex]p(x)= \frac{5^xexp(-5)}{x!}[/tex]

Probability of no near-misses is:

[tex]p(0) = \frac{5^0exp(-5)}{0!} =0.00674[/tex]