6. River floods are often measured by their discharges (in units of feet cubed per second). The value v is said to be the value of a 100-year flood if P{D ≥ v} = .01 where D is the discharge of the largest flood in a randomly chosen year. The following table gives the flood discharges of the largest floods of the Blackstone River in Woonsocket, Rhode Island, in each of the years from 1929 to 1965.

Assuming that these discharges follow a lognormal distribution, estimate the value of a 100-year flood.

Transcribed Image Text:

Annual Floods of the Blackstone River (1929-1965) Flood Discharge Year (ft/s) 1929 4,570 1930 1,970 1931 8,220 1932 4,530 1933 5,780 1934 6,560 1935 7,500 1936 15,000 1937 6,340 1938 15.100 1939 3,840 1940 5.860 1941 4,480 1942 5.330 1943 5.310 1944 3,830 1945 3,410 1946 3,830 1947 3,150 1948 5,810 1949 2,030 1950 3,620 1951 4,920 1952 4,090 1953 5.570 1954 9,400 1955 32,900 1956 8,710 1957 3,850 1958 4,970 1959 5.398 1960 4,780 1961 4,020 1962 5.790 1963 4,510 1964 5.520 1965 5.300