Answer:
3.566%
Step-by-step explanation:
The probability formula for a poisson distribution is:
[tex]P( k )=\frac{\lambda^{k}e^{-\lambda}}{k!} \\[/tex]
λ is the average of events
e is the euler's number
k is the number of events you want to know the probability
For this :
λ = 8.9 (on average the number of tickets is 8.9 per day)
k = 4 (you need to find the probability that exactly 4 tickets are written per day)
[tex]P( k=4 )=\frac{8.9^{4}e^{-8.9}}{4!}=0,03566 =3.566\%[/tex]
