exp distribution homework??
Here is one of the problems I have, I got part a) already but Im confused about the rest, especially d) and e).
1. Partial duration flows (flows greater than some arbitrary base value) have been treated as random variables with a shifted exponential distribution. From 23 years of records during which 56 flow in excess of 5,500 cfs, were observed in a region. The following distribution was found adequate:
a) Sketch and compute the probability that a flow exceeding 20,000 cfs will be observed, given that the flow exceeds the base value of 5,500. (My answer: 0.1074)
b) What is the probability of at least one flow exceeding 5,500 in one year?
c) Exactly two exceeding 5,500 in one year?
d) Return period of a 20,000 flow?
e) What is the size of the 100 yr flood?