1. Flash floods occur in Hill Valley at a Poisson rate of 2 per year. a: What is the expected waiting time for the next Flash floods?
b. Find the probability that the waiting time for the next Flash flood is between 12 and 18 months.
c: If the last Flash floods in Hill Valley occurred 4 months ago, then what is the probability that the next Flash floods doesn't occur within the next 5 months?
d. Find the 75th percentile for the waiting time between Flash floods in Hill Valley?
e: Find the probability that the waiting time for the next 4 Flash floods is between 12 and 18 months?
f. Find the 99th percentile for the waiting time for the next 4Flash floods?