8. The number of students who arrive at a local bar and restaurant has a Poisson with a mean of 30 students per hour. If 2 minutes have passed since the bouncer carded a student, what is the probability that the bouncer has to wait more than 3 minutes to card the next student? Guidance: It would be useful to change the unit of the Poisson from and hour to a minute. 9. The number of insurance claims per month follows a Poisson distribution. Experience has shown that there is only 95% chance that the time between claims is less than 2 months. What is the probability that there will be exactly 10 claims in half a year