Cafe shop opens at 8:00. Customers arrive at rate of 35 customers per hour. Find the probability that between 80 and 100 customers arrive between 10:00 and 13:00.
Just looking if I am correctly thinking.
I have modeled the question like this: $$P(N_{5} - N_{2} <= 100 | N_{5} - N_{2} > 79) = P(N_{3} <=100 | N_{3} > 79)$$
Now, I would apply $ P(A|B) = \frac {P(A∩B)}{P(B)} $, so $ P(B) = P(N_{3} > 79)$ and $P(A∩B) = P(N_{3} <= 100)P(N_{3}>79)$
Would it be the correct way to solve the problem?