Probability # Distribution

Question

A traffic office imposes on an average 5 number of penalities daily on traffic violators.Assume that the number of the penalties on different days is independent and follows a Poisson distribution.The  probability that there will be less than 4 penalties in a day is _______________  ?

Comments

0.265 ??

Answer 1

$P(X < 4) = e^{-5}*\sum_{i=0}^{3}\frac{\Lambda^{i}}{i!}$

Solving you get $0.265$

Answer 2

Given that λ=5λ=5

Let X = number of penalties per day