BASIC STATISTICS PLEASE ANSWER ASAP AND NEATLY (cubic ft/sec) 602 Report their m

Question

BASIC STATISTICS PLEASE ANSWER ASAP AND NEATLY

(cubic ft/sec)

602

Report their mean, standard deviation and obtain 10, 50 and 100-year return period flood values (T) assuming a normal distribution.

Report their mean and standard deviation if you log transform (ln) them for a lognormal analysis and obtain 10, 50 and 100-year return period flood values (T)

Obtain the corresponding 10, 50, and 100-year return period flood values for the “annual exceedance series” using the log-normal distribution (TE). Explain the difference between T and TE.

Using the same information, estimate the following probabilities from the annual maximum series: using a log-normal distribution: Probability of a flood occurring between 1000 (ft3 /s) and 2000 (ft3 /s) and probability of a flood value greater than 3000 (ft3 /s).

(cubic ft/sec)

602

655 728 731 739 762 893 1,300 1,370 1,380 1,380 1,510 1,530 1,720 1,740 1,890

Explanation / Answer

Report their mean, standard deviation and obtain 10, 50 and 100-year return period flood values (T) assuming a normal distribution.

Mean 1183.125

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