Problem 1

l. A certain river oods every year. Suppose the low water mark is set at 1ft, and the high water mark X has the cdf, a. Find the pdf, x}. b. What is the expected high water mark? c. Suppose that only a high water mark above 3ft will cause damage to surrounding property. How likely is there to be damage in a given year? d. What is the chance there is damage to the surrounding property in at least one out of 10 years? e. How likely is there to be exactly 2yrs with damage due to the high water exceeding 3ft out of lOyrs