I have the following question; Assuming there are a stream of people entering a shop at a Poisson process of rate 5 per second. The arrival requests are in 3 categories:
Girls with probability 0.5 Ladies with probability 0.3 Women with probability 0.2
In order to know the probability that any given request will be followed by another one within half a second will be ?
So here what i think the result will be is : T~Exponential(5) so P(T<0.5"half a second") = 0.5 -exp^-5 => 0.4932.
But how can i know, the mean arrival time between two successful women arrivals ?
- And also how can i know the probability that there are 6 ladies arriving in a 10 second period ?