Question

The mwan numbers of cars passing at a junction is 50. The passage of cars follow a Poisson distribution. Find the probability of less than 40 cars passing.

Answer 1

$P(X=x)=\frac{e^{-\lambda}\lambda^x}{x!},x=0,1,2,3...$

In this case $P(X<40)=P(X=0)+P(X=1)+...+P(X=38)+ P(X=39)$

$=0.06457$